Research on Network Security Prediction Method Based on Kalman Filtering Fusion Decision Entropy Theory

Size: px
Start display at page:

Download "Research on Network Security Prediction Method Based on Kalman Filtering Fusion Decision Entropy Theory"

Transcription

1 Vol.39 (SecTech 206) pp Research on Networ Securty Predcton Method Based on Kalan Flterng Fuson Decson Entropy Theory Lang Huang Xnhao Chen and Xnsheng La School of Matheatcs & Coputer Scence Shangrao Noral Unversty Shangrao 33400Jangx Chna {Lang. Huang} Abstract. In ths paper based on the Kalan flterng odel a new ethod of networ securty predcton s presented whch s based on the theory of decson entropy. In ths ethod the Kalan state equaton and easureent equaton are constructed accordng to the ey attrbutes of the networ securty state and then cobned wth the decson entropy theory to predct the future state of networ securty. The experental results show that the proposed ethod has hgh predcton accuracy and s sutable for the state predcton of networ securty. Keywords: networ securty decson entropy Kalan flterng attac strength Introducton Wth the rapd developent of the coputer people's daly lfe has been nseparable wth the networ. The coputer networ has penetrated nto all areas of people's lves ncludng scentfc research educaton governent natonal defense and other felds []. In today's socety s about to enter the era of cloud coputng the nfluence of coputer networ on socety wll be ore and ore bg. Wth extensve dstrbuton networ syste networ syste structure s becong ore and ore coplex the networ s facng ore and ore attacs and threats faced by the networ s becong ore and ore serous varous networ securty ncdents and vulnerabltes becoes ore and ore frequent ncludng hacer attacs vrus [2-3]. Ths not only daages the nterests of ndvduals and enterprses resultng n the loss of people's property but also reduces the people's trust n the networ. Ensurng networ nforaton securty has becoe one of the portant content of natonal nforaton strategy [4]. For all nds of networ securty ssues the tradtonal networ securty technology anly has Vulnerablty Detecton Technology Frewall Technology Intruson Detecton Technology [5]. Vulnerablty Detecton Technology has proved the level of networ securty n a certan extent but can only detect a certan networ vulnerablty the ltaton s great unable to detect the whole ISSN: ASTL Copyrght 206 SERSC

2 Vol.39 (SecTech 206) networ so the vulnerablty detecton technology plays a lted role n provng networ securty [6]. Frewall between the nternal and external networ bult a hgh wall ncreases the degree of securty of Intranet Networ. However the role of frewall n networ securty s lted. Frst of all there s no wall can bloc bypass attacs there are any ntruson technques to bypass the frewall; Secondly the frewall s a defense technology bult between the nternal and external networ can effectvely detect the transsson of data pacets between the nternal and external networs but the networ attacs are helpless [8]. Therefore the role of frewall to networ securty s lted. The developent of Intruson Detecton Technology s although relatvely ature due to the ntruson detecton equpent of alar nforaton s assve and the presence of false negatves false postves and so t could not reflect the true state of the networ [9]. Under the gudance of the odel cobnaton forecastng ethod ths paper cobnes the Kalan Flterng Method and the Gray Decson Entropy Theory and presents a new ethod for the predcton of networ securty stuaton. 2 The Networ Securty Predcton Model Classc predcton algorth based on artfcal une networ securty stuaton assessent algorth to get the value of networ securty stuaton to provde the bass for predcton. Because predcton algorths are generally cobned wth the nfluence factors of networ securty stuaton t s the ey to fnd and collect ore factors that affect the securty stuaton of networ. Therefore the lowest level odule n the predcton fraewor s a data collecton odule ths odule s responsble for collected by pheroone. Because there are any factors that affect the networ securty stuaton n order to wegh the predcton accuracy and effcency ths paper uses the gray correlaton analyss ethod to select the ey factors whch are related to the securty stuaton. 3 Proposed Networ Securty Predcton Algorths 3. The New Inforaton Estaton for Networ Securty Stuaton Accordng to the defnton of new nforaton theory the new nforaton process of a process s not related to the orgnal process but t s a new nforaton process wth Hlbert space. M ( represents the new nforaton at te the new nforaton process of networ securty stuaton z ( s defned as follows: M ( z( z( 2 () 322 Copyrght 206 SERSC

3 Vol.39 (SecTech 206) z ( s estated by the least square ethod that s the estated value of networ securty stuaton z( propertes: Frst new nforaton of te z(3) before te process vector observaton data process vector M () M () M (2) z() M (2). The new nforaton ethod has the followng and all the observed data z() z(2) respectvely orthogonal. Second new nforaton M (3) z(2) M (3) M ( z(3) M ( orthogonal to each other. Thrd z( and the new nforaton are correspondng one by one. Fro the nature of the new nforaton t s concluded that the physcal eanng s the nforaton of the te s ndependent of all the observed data z() z(2) M ( z(3) z( before te that s the new nforaton process s a stochastc process whch s not related to the orgnal process and has the characterstcs of whte nose. But t can provde the new nforaton about whch can correct the least squares estator. z( 3.2 Decson Entropy Fuson Kalan Flterng Networ Securty Stuaton Predcton Algorth The followng s Kalan predcton algorth based on decson entropy cobned wth factors odelng the specfc steps are as follows: Step one let z ( s the networ securty stuaton value of te z ( ) s the networ securty stuaton value of the next te perod after te ( ) are the selected ey factors accordng to the grey entropy y y ( correlaton degree ) s the value of factor value of factor for a perod of te after te between the ey factors and the stuaton s as follows: at te z( ) b00z( b0y( b0 y ( 0 y( ) b0z( by( b y ( y ( ) b0 z( b y( by( y ( ) s the. The regresson equaton Here paraeter b 00 b 0 b and 0 are all the regresson coeffcents and can be obtaned by the least square ethod. (2) Copyrght 206 SERSC 323

4 Vol.39 (SecTech 206) 0 b00 b0 b b 0 b 0 T T b z(2) z(3) T z( n) y (2) y (3) y ( n) y y y (2) (3) ( n) (3) Here T z() z(2) z( n ) y () y (2) y ( n ) Step two accordng to the forula (2) to establsh the Kalan flterng process equaton and the observaton equaton as follows: Y ( ) G( Y( U( z( ) B( Y( ) U 2( (4) 4 Experental Results and Analyss Accordng to the coputer artfcal une ethod to calculate the networ securty stuaton. Accordng to the relatonshp between the changes of antbody concentraton n the huan une syste and the pathogen nvason ntensty the networ securty stuaton s calculated by the antbody concentraton. The ethod can obtan accurate networ securty stuaton value. When soe attacs contnued to attac the networ the correspondng antbody concentraton wll ncrease contnuously; when the attac strength decreased then the concentraton of antbody decreased but the rate of declne s less than the rate of the attac strength; when soe nd of attac occurs agan n a certan perod of te the correspondng antbody concentraton s stll hgher t shows that the networ securty stuaton s hgher the networ anageent should prepare for the defense. Accordng to the concentraton of antbody we can calculate the value of networ securty stuaton. Set s the nuber of antbodes detected on the host of antbodes that can be detected n class class j attacs j attacs on the host ndcates the portance of the host j j s the nuber s the rs of y s the nuber of antbodes detected by host under noral networ condtons. Calculated rs values n the followng three cases: After processng the networ securty stuaton the nfluencng factors of attac strength networ flow and varable rate of networ flux are as shown n table. 324 Copyrght 206 SERSC

5 Vol.39 (SecTech 206) Table. Calculaton of networ securty stuaton Atuaton value Attac strength Networ flow Varable rate of networ flux Group Group Group Group Group Group Group Group Group Group Group Group Group Group Part of experental data of the networ securty stuaton the nfluence factors of attac strength networ traffc and flow rate are lsted n Table. The frst 0 groups of data are respectvely carred out grey correlaton entropy analyss. The results of the entropy analyss of the frst 0 groups of data wth the networ securty stuaton value as the reference sequence the analyss results are shown n table 2: Table 2. Decson entropy analyss of the frst 0 groups of data Attac strength Networ flow Decson entropy Maxu entropy of nforaton dfference Decson entropy correlaton Varable rate of networ flux Copyrght 206 SERSC 325

6 Vol.39 (SecTech 206) degree Accordng to the decson entropy judgent crteron the relatonshp between the ntensty of attac and the stuaton s the bggest. 5 Conclusons A Kalan flterng predcton algorth based on decson entropy theory s proposed for the predcton of networ securty stuaton. The wor of ths paper lays a foundaton for the better control of the networ securty. Acnowledgeents. Ths paper s supported by the Natonal Natural Scence Foundaton of Chna (No ) and the Natural Scence Foundaton of Jangx Provnce (No. 205BAB207020). References. Musab G. Lar L. Tare M.: Securng data exchange n wreless ulteda sensor networs: perspectves and challenges[j]. Multeda Tools and Applcatons 75(6): (206) 2. Ln G. Xnsheng J. Tao J.: Herarchcal stuaton evaluaton odel for networ nforaton content securty ncdents[j]. Journal of Jln Unversty 46(2): (206) 3. K D. Kang S. An S.: Secure and effcent te synchronzaton for border survellance wreless sensor networs[j]. IEICE Transactons on Fundaentals of Electroncs Councatons and Coputer Scences : (206) 4. Sth B. Caruthers W. Stewart D.: Networ odelng for securty analytcs[c]. Proceedngs of the th Annual Cyber and Inforaton Securty Research Conference (206) 5. Massonet P. Levn A. Celest A.: Securty requreents n a federated cloud networng archtecture[j]. Councatons n Coputer and Inforaton Scence 567: (206) 6. Dang P.D. Pttayachawan S. Bruno V.: Explorng behavoral nforaton securty networs n an organzatonal context: an eprcal case study[j]. Journal of Inforaton Securty and Applcatons (206). 7. Ven Q.T. Le T.A. Nguyen H.X.: A secure networ codng based odfy-and-forward schee for cooperatve wreless relay networs[c]. IEEE Vehcular Technology Conference (206). 8. Tellez M. EI T.S. Heydar H.M.: Iprovng the securty of wreless sensor networs n an lot envronental ontorng syste[c]. IEEE Systes and Inforaton Engneerng Desgn Syposu (206) 9. Lu C.: Actvely boostng networ securty wth passve DNS[J]. Networ Securty 5: (206) 326 Copyrght 206 SERSC

Collaborative Filtering Recommendation Algorithm

Collaborative Filtering Recommendation Algorithm Vol.141 (GST 2016), pp.199-203 http://dx.do.org/10.14257/astl.2016.141.43 Collaboratve Flterng Recoendaton Algorth Dong Lang Qongta Teachers College, Haou 570100, Chna, 18689851015@163.co Abstract. Ths

More information

System in Weibull Distribution

System in Weibull Distribution Internatonal Matheatcal Foru 4 9 no. 9 94-95 Relablty Equvalence Factors of a Seres-Parallel Syste n Webull Dstrbuton M. A. El-Dacese Matheatcs Departent Faculty of Scence Tanta Unversty Tanta Egypt eldacese@yahoo.co

More information

Pop-Click Noise Detection Using Inter-Frame Correlation for Improved Portable Auditory Sensing

Pop-Click Noise Detection Using Inter-Frame Correlation for Improved Portable Auditory Sensing Advanced Scence and Technology Letters, pp.164-168 http://dx.do.org/10.14257/astl.2013 Pop-Clc Nose Detecton Usng Inter-Frame Correlaton for Improved Portable Audtory Sensng Dong Yun Lee, Kwang Myung Jeon,

More information

Designing Fuzzy Time Series Model Using Generalized Wang s Method and Its application to Forecasting Interest Rate of Bank Indonesia Certificate

Designing Fuzzy Time Series Model Using Generalized Wang s Method and Its application to Forecasting Interest Rate of Bank Indonesia Certificate The Frst Internatonal Senar on Scence and Technology, Islac Unversty of Indonesa, 4-5 January 009. Desgnng Fuzzy Te Seres odel Usng Generalzed Wang s ethod and Its applcaton to Forecastng Interest Rate

More information

Determination of the Confidence Level of PSD Estimation with Given D.O.F. Based on WELCH Algorithm

Determination of the Confidence Level of PSD Estimation with Given D.O.F. Based on WELCH Algorithm Internatonal Conference on Inforaton Technology and Manageent Innovaton (ICITMI 05) Deternaton of the Confdence Level of PSD Estaton wth Gven D.O.F. Based on WELCH Algorth Xue-wang Zhu, *, S-jan Zhang

More information

A Network Intrusion Detection Method Based on Improved K-means Algorithm

A Network Intrusion Detection Method Based on Improved K-means Algorithm Advanced Scence and Technology Letters, pp.429-433 http://dx.do.org/10.14257/astl.2014.53.89 A Network Intruson Detecton Method Based on Improved K-means Algorthm Meng Gao 1,1, Nhong Wang 1, 1 Informaton

More information

BAYESIAN CURVE FITTING USING PIECEWISE POLYNOMIALS. Dariusz Biskup

BAYESIAN CURVE FITTING USING PIECEWISE POLYNOMIALS. Dariusz Biskup BAYESIAN CURVE FITTING USING PIECEWISE POLYNOMIALS Darusz Bskup 1. Introducton The paper presents a nonparaetrc procedure for estaton of an unknown functon f n the regresson odel y = f x + ε = N. (1) (

More information

PROBABILITY AND STATISTICS Vol. III - Analysis of Variance and Analysis of Covariance - V. Nollau ANALYSIS OF VARIANCE AND ANALYSIS OF COVARIANCE

PROBABILITY AND STATISTICS Vol. III - Analysis of Variance and Analysis of Covariance - V. Nollau ANALYSIS OF VARIANCE AND ANALYSIS OF COVARIANCE ANALYSIS OF VARIANCE AND ANALYSIS OF COVARIANCE V. Nollau Insttute of Matheatcal Stochastcs, Techncal Unversty of Dresden, Gerany Keywords: Analyss of varance, least squares ethod, odels wth fxed effects,

More information

Orientation Model of Elite Education and Mass Education

Orientation Model of Elite Education and Mass Education Proceedngs of the 8th Internatonal Conference on Innovaton & Management 723 Orentaton Model of Elte Educaton and Mass Educaton Ye Peng Huanggang Normal Unversty, Huanggang, P.R.Chna, 438 (E-mal: yepeng@hgnc.edu.cn)

More information

A New Multi-Method Combination Forecasting Model for ESDD Predicting

A New Multi-Method Combination Forecasting Model for ESDD Predicting Energy and Power Engneerng, 009, 94-99 do:0.436/epe.009.05 Publshed Onlne Noveber 009 (http://www.scrp.org/journal/epe) A New Mult-Method Cobnaton Forecastng Model for ESDD Predctng Hayan SHUA, Qngwu GONG

More information

Signal-noise Ratio Recognition Algorithm Based on Singular Value Decomposition

Signal-noise Ratio Recognition Algorithm Based on Singular Value Decomposition 4th Internatonal Conference on Machnery, Materals and Coputng Technology (ICMMCT 06) Sgnal-nose Rato Recognton Algorth Based on Sngular Value Decoposton Qao Y, a, Cu Qan, b, Zhang We, c and Lu Yan, d Bejng

More information

A Particle Filter Algorithm based on Mixing of Prior probability density and UKF as Generate Importance Function

A Particle Filter Algorithm based on Mixing of Prior probability density and UKF as Generate Importance Function Advanced Scence and Technology Letters, pp.83-87 http://dx.do.org/10.14257/astl.2014.53.20 A Partcle Flter Algorthm based on Mxng of Pror probablty densty and UKF as Generate Importance Functon Lu Lu 1,1,

More information

Excess Error, Approximation Error, and Estimation Error

Excess Error, Approximation Error, and Estimation Error E0 370 Statstcal Learnng Theory Lecture 10 Sep 15, 011 Excess Error, Approxaton Error, and Estaton Error Lecturer: Shvan Agarwal Scrbe: Shvan Agarwal 1 Introducton So far, we have consdered the fnte saple

More information

The Non-equidistant New Information Optimizing MGM(1,n) Based on a Step by Step Optimum Constructing Background Value

The Non-equidistant New Information Optimizing MGM(1,n) Based on a Step by Step Optimum Constructing Background Value Appl. Math. Inf. Sc. 6 No. 3 745-750 (0) 745 Appled Matheatcs & Inforaton Scences An Internatonal Journal The Non-equdstant New Inforaton Optzng MGM(n) Based on a Step by Step Optu Constructng Background

More information

Statistical analysis of Accelerated life testing under Weibull distribution based on fuzzy theory

Statistical analysis of Accelerated life testing under Weibull distribution based on fuzzy theory Statstcal analyss of Accelerated lfe testng under Webull dstrbuton based on fuzzy theory Han Xu, Scence & Technology on Relablty & Envronental Engneerng Laboratory, School of Relablty and Syste Engneerng,

More information

Research Article Dynamic Model of Urban Sports Infrastructure Supply and Demand Based on GDP Growth

Research Article Dynamic Model of Urban Sports Infrastructure Supply and Demand Based on GDP Growth Research Journal of Appled Scences, Engneerng and Technology 7(1): 72-76, 2014 DOI:10.19026/rjaset.7.222 ISSN: 2040-7459; e-issn: 2040-7467 2014 Maxwell Scentfc Publcaton Corp. Subtted: January 26, 2013

More information

Chapter 12 Lyes KADEM [Thermodynamics II] 2007

Chapter 12 Lyes KADEM [Thermodynamics II] 2007 Chapter 2 Lyes KDEM [Therodynacs II] 2007 Gas Mxtures In ths chapter we wll develop ethods for deternng therodynac propertes of a xture n order to apply the frst law to systes nvolvng xtures. Ths wll be

More information

An Improved multiple fractal algorithm

An Improved multiple fractal algorithm Advanced Scence and Technology Letters Vol.31 (MulGraB 213), pp.184-188 http://dx.do.org/1.1427/astl.213.31.41 An Improved multple fractal algorthm Yun Ln, Xaochu Xu, Jnfeng Pang College of Informaton

More information

The Study of Teaching-learning-based Optimization Algorithm

The Study of Teaching-learning-based Optimization Algorithm Advanced Scence and Technology Letters Vol. (AST 06), pp.05- http://dx.do.org/0.57/astl.06. The Study of Teachng-learnng-based Optmzaton Algorthm u Sun, Yan fu, Lele Kong, Haolang Q,, Helongang Insttute

More information

The Order Relation and Trace Inequalities for. Hermitian Operators

The Order Relation and Trace Inequalities for. Hermitian Operators Internatonal Mathematcal Forum, Vol 3, 08, no, 507-57 HIKARI Ltd, wwwm-hkarcom https://doorg/0988/mf088055 The Order Relaton and Trace Inequaltes for Hermtan Operators Y Huang School of Informaton Scence

More information

Chapter 15 - Multiple Regression

Chapter 15 - Multiple Regression Chapter - Multple Regresson Chapter - Multple Regresson Multple Regresson Model The equaton that descrbes how the dependent varable y s related to the ndependent varables x, x,... x p and an error term

More information

Gadjah Mada University, Indonesia. Yogyakarta State University, Indonesia Karangmalang Yogyakarta 55281

Gadjah Mada University, Indonesia. Yogyakarta State University, Indonesia Karangmalang Yogyakarta 55281 Reducng Fuzzy Relatons of Fuzzy Te Seres odel Usng QR Factorzaton ethod and Its Applcaton to Forecastng Interest Rate of Bank Indonesa Certfcate Agus aan Abad Subanar Wdodo 3 Sasubar Saleh 4 Ph.D Student

More information

Grey prediction model in world women s pentathlon performance prediction applied research

Grey prediction model in world women s pentathlon performance prediction applied research Avalable onlne www.jocpr.com Journal of Chemcal and Pharmaceutcal Research, 4, 6(6):36-4 Research Artcle ISSN : 975-7384 CODEN(USA) : JCPRC5 Grey predcton model n world women s pentathlon performance predcton

More information

Department of Quantitative Methods & Information Systems. Time Series and Their Components QMIS 320. Chapter 6

Department of Quantitative Methods & Information Systems. Time Series and Their Components QMIS 320. Chapter 6 Department of Quanttatve Methods & Informaton Systems Tme Seres and Ther Components QMIS 30 Chapter 6 Fall 00 Dr. Mohammad Zanal These sldes were modfed from ther orgnal source for educatonal purpose only.

More information

Applied Mathematics Letters

Applied Mathematics Letters Appled Matheatcs Letters 2 (2) 46 5 Contents lsts avalable at ScenceDrect Appled Matheatcs Letters journal hoepage: wwwelseverco/locate/al Calculaton of coeffcents of a cardnal B-splne Gradr V Mlovanovć

More information

Available online Journal of Chemical and Pharmaceutical Research, 2014, 6(5): Research Article

Available online   Journal of Chemical and Pharmaceutical Research, 2014, 6(5): Research Article Avalable onlne www.ocpr.com Journal of Chemcal and Pharmaceutcal Research 4 6(5):7-76 Research Artcle ISSN : 975-7384 CODEN(USA) : JCPRC5 Stud on relatonshp between nvestment n scence and technolog and

More information

A Robust Method for Calculating the Correlation Coefficient

A Robust Method for Calculating the Correlation Coefficient A Robust Method for Calculatng the Correlaton Coeffcent E.B. Nven and C. V. Deutsch Relatonshps between prmary and secondary data are frequently quantfed usng the correlaton coeffcent; however, the tradtonal

More information

FUZZY MODEL FOR FORECASTING INTEREST RATE OF BANK INDONESIA CERTIFICATE

FUZZY MODEL FOR FORECASTING INTEREST RATE OF BANK INDONESIA CERTIFICATE he 3 rd Internatonal Conference on Quanttatve ethods ISBN 979-989 Used n Econoc and Busness. June 6-8, 00 FUZZY ODEL FOR FORECASING INERES RAE OF BANK INDONESIA CERIFICAE Agus aan Abad, Subanar, Wdodo

More information

A New Scrambling Evaluation Scheme based on Spatial Distribution Entropy and Centroid Difference of Bit-plane

A New Scrambling Evaluation Scheme based on Spatial Distribution Entropy and Centroid Difference of Bit-plane A New Scramblng Evaluaton Scheme based on Spatal Dstrbuton Entropy and Centrod Dfference of Bt-plane Lang Zhao *, Avshek Adhkar Kouch Sakura * * Graduate School of Informaton Scence and Electrcal Engneerng,

More information

Several generation methods of multinomial distributed random number Tian Lei 1, a,linxihe 1,b,Zhigang Zhang 1,c

Several generation methods of multinomial distributed random number Tian Lei 1, a,linxihe 1,b,Zhigang Zhang 1,c Internatonal Conference on Appled Scence and Engneerng Innovaton (ASEI 205) Several generaton ethods of ultnoal dstrbuted rando nuber Tan Le, a,lnhe,b,zhgang Zhang,c School of Matheatcs and Physcs, USTB,

More information

Statistics for Business and Economics

Statistics for Business and Economics Statstcs for Busness and Economcs Chapter 11 Smple Regresson Copyrght 010 Pearson Educaton, Inc. Publshng as Prentce Hall Ch. 11-1 11.1 Overvew of Lnear Models n An equaton can be ft to show the best lnear

More information

XII.3 The EM (Expectation-Maximization) Algorithm

XII.3 The EM (Expectation-Maximization) Algorithm XII.3 The EM (Expectaton-Maxzaton) Algorth Toshnor Munaata 3/7/06 The EM algorth s a technque to deal wth varous types of ncoplete data or hdden varables. It can be appled to a wde range of learnng probles

More information

Study on Active Micro-vibration Isolation System with Linear Motor Actuator. Gong-yu PAN, Wen-yan GU and Dong LI

Study on Active Micro-vibration Isolation System with Linear Motor Actuator. Gong-yu PAN, Wen-yan GU and Dong LI 2017 2nd Internatonal Conference on Electrcal and Electroncs: echnques and Applcatons (EEA 2017) ISBN: 978-1-60595-416-5 Study on Actve Mcro-vbraton Isolaton System wth Lnear Motor Actuator Gong-yu PAN,

More information

A Fast Computer Aided Design Method for Filters

A Fast Computer Aided Design Method for Filters 2017 Asa-Pacfc Engneerng and Technology Conference (APETC 2017) ISBN: 978-1-60595-443-1 A Fast Computer Aded Desgn Method for Flters Gang L ABSTRACT *Ths paper presents a fast computer aded desgn method

More information

A New Grey Relational Fusion Algorithm Based on Approximate Antropy

A New Grey Relational Fusion Algorithm Based on Approximate Antropy Journal of Computatonal Informaton Systems 9: 20 (2013) 8045 8052 Avalable at http://www.jofcs.com A New Grey Relatonal Fuson Algorthm Based on Approxmate Antropy Yun LIN, Jnfeng PANG, Ybng LI College

More information

1 Review From Last Time

1 Review From Last Time COS 5: Foundatons of Machne Learnng Rob Schapre Lecture #8 Scrbe: Monrul I Sharf Aprl 0, 2003 Revew Fro Last Te Last te, we were talkng about how to odel dstrbutons, and we had ths setup: Gven - exaples

More information

/ n ) are compared. The logic is: if the two

/ n ) are compared. The logic is: if the two STAT C141, Sprng 2005 Lecture 13 Two sample tests One sample tests: examples of goodness of ft tests, where we are testng whether our data supports predctons. Two sample tests: called as tests of ndependence

More information

Statistics for Economics & Business

Statistics for Economics & Business Statstcs for Economcs & Busness Smple Lnear Regresson Learnng Objectves In ths chapter, you learn: How to use regresson analyss to predct the value of a dependent varable based on an ndependent varable

More information

Improvement of Histogram Equalization for Minimum Mean Brightness Error

Improvement of Histogram Equalization for Minimum Mean Brightness Error Proceedngs of the 7 WSEAS Int. Conference on Crcuts, Systems, Sgnal and elecommuncatons, Gold Coast, Australa, January 7-9, 7 3 Improvement of Hstogram Equalzaton for Mnmum Mean Brghtness Error AAPOG PHAHUA*,

More information

Statistical Evaluation of WATFLOOD

Statistical Evaluation of WATFLOOD tatstcal Evaluaton of WATFLD By: Angela MacLean, Dept. of Cvl & Envronmental Engneerng, Unversty of Waterloo, n. ctober, 005 The statstcs program assocated wth WATFLD uses spl.csv fle that s produced wth

More information

SIMPLE LINEAR REGRESSION

SIMPLE LINEAR REGRESSION Smple Lnear Regresson and Correlaton Introducton Prevousl, our attenton has been focused on one varable whch we desgnated b x. Frequentl, t s desrable to learn somethng about the relatonshp between two

More information

Continuous vs. Discrete Goods

Continuous vs. Discrete Goods CE 651 Transportaton Economcs Charsma Choudhury Lecture 3-4 Analyss of Demand Contnuous vs. Dscrete Goods Contnuous Goods Dscrete Goods x auto 1 Indfference u curves 3 u u 1 x 1 0 1 bus Outlne Data Modelng

More information

Chapter 5 Multilevel Models

Chapter 5 Multilevel Models Chapter 5 Multlevel Models 5.1 Cross-sectonal multlevel models 5.1.1 Two-level models 5.1.2 Multple level models 5.1.3 Multple level modelng n other felds 5.2 Longtudnal multlevel models 5.2.1 Two-level

More information

A Hybrid Evaluation model for Distribution Network Reliability Based on Matter-element Extension Method

A Hybrid Evaluation model for Distribution Network Reliability Based on Matter-element Extension Method Advanced Scence and Technology Letters Vol.74 (ASEA 204), pp.87-95 http://dx.do.org/0.4257/astl.204.74.7 A Hybrd Evaluaton model for Dstrbuton Network Relablty Based on Matter-element Extenson Method Huru

More information

LINEAR REGRESSION ANALYSIS. MODULE VIII Lecture Indicator Variables

LINEAR REGRESSION ANALYSIS. MODULE VIII Lecture Indicator Variables LINEAR REGRESSION ANALYSIS MODULE VIII Lecture - 7 Indcator Varables Dr. Shalabh Department of Maematcs and Statstcs Indan Insttute of Technology Kanpur Indcator varables versus quanttatve explanatory

More information

2nd International Workshop on Materials Engineering and Computer Sciences (IWMECS 2015)

2nd International Workshop on Materials Engineering and Computer Sciences (IWMECS 2015) nd nternatonal Workshop on Materals Engneerng and Coputer Scences (WMECS 05 Short-ter Relablty Model Based on The robablty Dstrbuton of ower Transsson and Transforaton Equpent Chao Huang,a, Xaoquan L,b,

More information

Chapter 13: Multiple Regression

Chapter 13: Multiple Regression Chapter 13: Multple Regresson 13.1 Developng the multple-regresson Model The general model can be descrbed as: It smplfes for two ndependent varables: The sample ft parameter b 0, b 1, and b are used to

More information

Statistics for Managers Using Microsoft Excel/SPSS Chapter 13 The Simple Linear Regression Model and Correlation

Statistics for Managers Using Microsoft Excel/SPSS Chapter 13 The Simple Linear Regression Model and Correlation Statstcs for Managers Usng Mcrosoft Excel/SPSS Chapter 13 The Smple Lnear Regresson Model and Correlaton 1999 Prentce-Hall, Inc. Chap. 13-1 Chapter Topcs Types of Regresson Models Determnng the Smple Lnear

More information

A New Evolutionary Computation Based Approach for Learning Bayesian Network

A New Evolutionary Computation Based Approach for Learning Bayesian Network Avalable onlne at www.scencedrect.com Proceda Engneerng 15 (2011) 4026 4030 Advanced n Control Engneerng and Informaton Scence A New Evolutonary Computaton Based Approach for Learnng Bayesan Network Yungang

More information

An Optimal Bound for Sum of Square Roots of Special Type of Integers

An Optimal Bound for Sum of Square Roots of Special Type of Integers The Sxth Internatonal Syposu on Operatons Research and Its Applcatons ISORA 06 Xnang, Chna, August 8 12, 2006 Copyrght 2006 ORSC & APORC pp. 206 211 An Optal Bound for Su of Square Roots of Specal Type

More information

ERROR RESEARCH ON A HEPA FILTER MEDIA TESTING SYSTEM OF MPPS(MOST PENETRATION PARTICLE SIZE) EFFICIENCY

ERROR RESEARCH ON A HEPA FILTER MEDIA TESTING SYSTEM OF MPPS(MOST PENETRATION PARTICLE SIZE) EFFICIENCY Proceedngs: Indoor Ar 2005 ERROR RESEARCH ON A HEPA FILTER MEDIA TESTING SYSTEM OF MPPS(MOST PENETRATION PARTICLE SIZE) EFFICIENCY S Lu, J Lu *, N Zhu School of Envronmental Scence and Technology, Tanjn

More information

Tourist Arrivals Real-time Prediction Based on IOWA-Gauss Method

Tourist Arrivals Real-time Prediction Based on IOWA-Gauss Method 4 A publcaton of CHEMICAL ENGINEERING TRANSACTIONS VOL. 46, 05 Guest Edtors: Peyu Ren, Yancang L, Hupng Song Copyrght 05, AIDIC Servz S.r.l., ISBN 978-88-95608-37-; ISSN 83-96 The Italan Assocaton of Checal

More information

Multi-information Fusion and Filter Study of Multi-sensor Velocity Measurement on High-speed Train

Multi-information Fusion and Filter Study of Multi-sensor Velocity Measurement on High-speed Train WSEAS RANSACIONS on SIGNAL PROCESSING Hou ao, Nu Hongxa Mult-nforaton Fuson and Flter Study of Mult-sensor Velocty Measureent on Hgh-speed ran HOU AO, NIU HONGXIA Lanzhou Jaotong Unversty 602 Postbox No.88

More information

A Knowledge-Based Feature Selection Method for Text Categorization

A Knowledge-Based Feature Selection Method for Text Categorization A Knowledge-Based Feature Selecton Method for Text Categorzaton Yan Xu,2, JnTao L, Bn Wang,ChunMng Sun,2 Insttute of Coputng Technology,Chnese Acadey of Scences No.6 Kexueyuan South Road, Zhongguancun,Hadan

More information

Application of Queuing Theory to Waiting Time of Out-Patients in Hospitals.

Application of Queuing Theory to Waiting Time of Out-Patients in Hospitals. Applcaton of Queung Theory to Watng Tme of Out-Patents n Hosptals. R.A. Adeleke *, O.D. Ogunwale, and O.Y. Hald. Department of Mathematcal Scences, Unversty of Ado-Ekt, Ado-Ekt, Ekt State, Ngera. E-mal:

More information

Assessment of Site Amplification Effect from Input Energy Spectra of Strong Ground Motion

Assessment of Site Amplification Effect from Input Energy Spectra of Strong Ground Motion Assessment of Ste Amplfcaton Effect from Input Energy Spectra of Strong Ground Moton M.S. Gong & L.L Xe Key Laboratory of Earthquake Engneerng and Engneerng Vbraton,Insttute of Engneerng Mechancs, CEA,

More information

2016 Wiley. Study Session 2: Ethical and Professional Standards Application

2016 Wiley. Study Session 2: Ethical and Professional Standards Application 6 Wley Study Sesson : Ethcal and Professonal Standards Applcaton LESSON : CORRECTION ANALYSIS Readng 9: Correlaton and Regresson LOS 9a: Calculate and nterpret a sample covarance and a sample correlaton

More information

Chapter 9: Statistical Inference and the Relationship between Two Variables

Chapter 9: Statistical Inference and the Relationship between Two Variables Chapter 9: Statstcal Inference and the Relatonshp between Two Varables Key Words The Regresson Model The Sample Regresson Equaton The Pearson Correlaton Coeffcent Learnng Outcomes After studyng ths chapter,

More information

on the improved Partial Least Squares regression

on the improved Partial Least Squares regression Internatonal Conference on Manufacturng Scence and Engneerng (ICMSE 05) Identfcaton of the multvarable outlers usng T eclpse chart based on the mproved Partal Least Squares regresson Lu Yunlan,a X Yanhu,b

More information

Integral Transforms and Dual Integral Equations to Solve Heat Equation with Mixed Conditions

Integral Transforms and Dual Integral Equations to Solve Heat Equation with Mixed Conditions Int J Open Probles Copt Math, Vol 7, No 4, Deceber 214 ISSN 1998-6262; Copyrght ICSS Publcaton, 214 www-csrsorg Integral Transfors and Dual Integral Equatons to Solve Heat Equaton wth Mxed Condtons Naser

More information

Fermi-Dirac statistics

Fermi-Dirac statistics UCC/Physcs/MK/EM/October 8, 205 Fer-Drac statstcs Fer-Drac dstrbuton Matter partcles that are eleentary ostly have a type of angular oentu called spn. hese partcles are known to have a agnetc oent whch

More information

Psychology 282 Lecture #24 Outline Regression Diagnostics: Outliers

Psychology 282 Lecture #24 Outline Regression Diagnostics: Outliers Psychology 282 Lecture #24 Outlne Regresson Dagnostcs: Outlers In an earler lecture we studed the statstcal assumptons underlyng the regresson model, ncludng the followng ponts: Formal statement of assumptons.

More information

A LINEAR PROGRAM TO COMPARE MULTIPLE GROSS CREDIT LOSS FORECASTS. Dr. Derald E. Wentzien, Wesley College, (302) ,

A LINEAR PROGRAM TO COMPARE MULTIPLE GROSS CREDIT LOSS FORECASTS. Dr. Derald E. Wentzien, Wesley College, (302) , A LINEAR PROGRAM TO COMPARE MULTIPLE GROSS CREDIT LOSS FORECASTS Dr. Derald E. Wentzen, Wesley College, (302) 736-2574, wentzde@wesley.edu ABSTRACT A lnear programmng model s developed and used to compare

More information

Operating conditions of a mine fan under conditions of variable resistance

Operating conditions of a mine fan under conditions of variable resistance Paper No. 11 ISMS 216 Operatng condtons of a mne fan under condtons of varable resstance Zhang Ynghua a, Chen L a, b, Huang Zhan a, *, Gao Yukun a a State Key Laboratory of Hgh-Effcent Mnng and Safety

More information

Reliability estimation in Pareto-I distribution based on progressively type II censored sample with binomial removals

Reliability estimation in Pareto-I distribution based on progressively type II censored sample with binomial removals Journal of Scentfc esearch Developent (): 08-3 05 Avalable onlne at wwwjsradorg ISSN 5-7569 05 JSAD elablty estaton n Pareto-I dstrbuton based on progressvely type II censored saple wth bnoal reovals Ilhan

More information

Multipoint Analysis for Sibling Pairs. Biostatistics 666 Lecture 18

Multipoint Analysis for Sibling Pairs. Biostatistics 666 Lecture 18 Multpont Analyss for Sblng ars Bostatstcs 666 Lecture 8 revously Lnkage analyss wth pars of ndvduals Non-paraetrc BS Methods Maxu Lkelhood BD Based Method ossble Trangle Constrant AS Methods Covered So

More information

Application of Kalman Filter in Track Prediction of Shuttlecock

Application of Kalman Filter in Track Prediction of Shuttlecock Proceedngs of the 9 IEEE Internatonal Conference on Robotcs and Boetcs Deceber 9-3, 9, Guln, Chna Applcaton of Kalan Flter n Trac Predcton of Shuttlecoc Man Yongu, Zhao Lang, Hu Jngxn School of Inforaton

More information

Modeling of Risk Treatment Measurement Model under Four Clusters Standards (ISO 9001, 14001, 27001, OHSAS 18001)

Modeling of Risk Treatment Measurement Model under Four Clusters Standards (ISO 9001, 14001, 27001, OHSAS 18001) Avalable onlne at www.scencedrect.com Proceda Engneerng 37 (202 ) 354 358 The Second SREE Conference on Engneerng Modelng and Smulaton Modelng of Rsk Treatment Measurement Model under Four Clusters Standards

More information

Power law and dimension of the maximum value for belief distribution with the max Deng entropy

Power law and dimension of the maximum value for belief distribution with the max Deng entropy Power law and dmenson of the maxmum value for belef dstrbuton wth the max Deng entropy Bngy Kang a, a College of Informaton Engneerng, Northwest A&F Unversty, Yanglng, Shaanx, 712100, Chna. Abstract Deng

More information

COS 511: Theoretical Machine Learning

COS 511: Theoretical Machine Learning COS 5: Theoretcal Machne Learnng Lecturer: Rob Schapre Lecture #0 Scrbe: José Sões Ferrera March 06, 203 In the last lecture the concept of Radeacher coplexty was ntroduced, wth the goal of showng that

More information

A New Evidence Combination Method based on Consistent Strength

A New Evidence Combination Method based on Consistent Strength TELKOMNIKA, Vol.11, No.11, November 013, pp. 697~6977 e-issn: 087-78X 697 A New Evdence Combnaton Method based on Consstent Strength Changmng Qao, Shul Sun* Insttute of Electronc Engneerng, He Longang

More information

The Parity of the Number of Irreducible Factors for Some Pentanomials

The Parity of the Number of Irreducible Factors for Some Pentanomials The Party of the Nuber of Irreducble Factors for Soe Pentanoals Wolfra Koepf 1, Ryul K 1 Departent of Matheatcs Unversty of Kassel, Kassel, F. R. Gerany Faculty of Matheatcs and Mechancs K Il Sung Unversty,

More information

Experimental tudy on the ractal haracteristics of ocks rushing

Experimental tudy on the ractal haracteristics of ocks rushing MATEC Web of Conferences 25, 02008 ( 2015) DOI: 10.1051/ matecconf/ 20152 502008 C Owned by the authors, publshed by EDP Scences, 2015 Expermental tudy on the ractal haracterstcs of ocks rushng Gapn Ca*,

More information

Denote the function derivatives f(x) in given points. x a b. Using relationships (1.2), polynomials (1.1) are written in the form

Denote the function derivatives f(x) in given points. x a b. Using relationships (1.2), polynomials (1.1) are written in the form SET OF METHODS FO SOUTION THE AUHY POBEM FO STIFF SYSTEMS OF ODINAY DIFFEENTIA EUATIONS AF atypov and YuV Nulchev Insttute of Theoretcal and Appled Mechancs SB AS 639 Novosbrs ussa Introducton A constructon

More information

The Research on the Inventory Prediction in Supply Chain based on BP-GA Chaos Prediction Algorithm

The Research on the Inventory Prediction in Supply Chain based on BP-GA Chaos Prediction Algorithm Internatonal Journal of u- and e- Servce, Scence and Technology, pp.295-304 http://dx.do.org/10.14257/junesst.2015.8.12.30 The Research on the Inventory Predcton n Supply Chan based on BP-GA Chaos Predcton

More information

halftoning Journal of Electronic Imaging, vol. 11, no. 4, Oct Je-Ho Lee and Jan P. Allebach

halftoning Journal of Electronic Imaging, vol. 11, no. 4, Oct Je-Ho Lee and Jan P. Allebach olorant-based drect bnary search» halftonng Journal of Electronc Iagng, vol., no. 4, Oct. 22 Je-Ho Lee and Jan P. Allebach School of Electrcal Engneerng & oputer Scence Kyungpook Natonal Unversty Abstract

More information

Comparison of the Population Variance Estimators. of 2-Parameter Exponential Distribution Based on. Multiple Criteria Decision Making Method

Comparison of the Population Variance Estimators. of 2-Parameter Exponential Distribution Based on. Multiple Criteria Decision Making Method Appled Mathematcal Scences, Vol. 7, 0, no. 47, 07-0 HIARI Ltd, www.m-hkar.com Comparson of the Populaton Varance Estmators of -Parameter Exponental Dstrbuton Based on Multple Crtera Decson Makng Method

More information

CHAPT II : Prob-stats, estimation

CHAPT II : Prob-stats, estimation CHAPT II : Prob-stats, estaton Randoness, probablty Probablty densty functons and cuulatve densty functons. Jont, argnal and condtonal dstrbutons. The Bayes forula. Saplng and statstcs Descrptve and nferental

More information

Research on employment of adaptive beamformer based on weight iterative algorithm in suppressing radio frequency interferences

Research on employment of adaptive beamformer based on weight iterative algorithm in suppressing radio frequency interferences Research on eployent of adaptve beaforer based on weght teratve algorth n suppressng rado frequency nterferences JP.3 Ren-Zhou Gu Dept. of electronc nforaton Wuhan Unversty Wuhan, Chna rzgu@6.co Z-Je Yang

More information

Least Squares Fitting of Data

Least Squares Fitting of Data Least Squares Fttng of Data Davd Eberly Geoetrc Tools, LLC http://www.geoetrctools.co/ Copyrght c 1998-2014. All Rghts Reserved. Created: July 15, 1999 Last Modfed: February 9, 2008 Contents 1 Lnear Fttng

More information

Chapter 8 Indicator Variables

Chapter 8 Indicator Variables Chapter 8 Indcator Varables In general, e explanatory varables n any regresson analyss are assumed to be quanttatve n nature. For example, e varables lke temperature, dstance, age etc. are quanttatve n

More information

VERIFICATION OF FE MODELS FOR MODEL UPDATING

VERIFICATION OF FE MODELS FOR MODEL UPDATING VERIFICATION OF FE MODELS FOR MODEL UPDATING G. Chen and D. J. Ewns Dynacs Secton, Mechancal Engneerng Departent Iperal College of Scence, Technology and Medcne London SW7 AZ, Unted Kngdo Eal: g.chen@c.ac.uk

More information

Air Age Equation Parameterized by Ventilation Grouped Time WU Wen-zhong

Air Age Equation Parameterized by Ventilation Grouped Time WU Wen-zhong Appled Mechancs and Materals Submtted: 2014-05-07 ISSN: 1662-7482, Vols. 587-589, pp 449-452 Accepted: 2014-05-10 do:10.4028/www.scentfc.net/amm.587-589.449 Onlne: 2014-07-04 2014 Trans Tech Publcatons,

More information

1 Definition of Rademacher Complexity

1 Definition of Rademacher Complexity COS 511: Theoretcal Machne Learnng Lecturer: Rob Schapre Lecture #9 Scrbe: Josh Chen March 5, 2013 We ve spent the past few classes provng bounds on the generalzaton error of PAClearnng algorths for the

More information

Lecture 3 Stat102, Spring 2007

Lecture 3 Stat102, Spring 2007 Lecture 3 Stat0, Sprng 007 Chapter 3. 3.: Introducton to regresson analyss Lnear regresson as a descrptve technque The least-squares equatons Chapter 3.3 Samplng dstrbuton of b 0, b. Contnued n net lecture

More information

Interactive Bi-Level Multi-Objective Integer. Non-linear Programming Problem

Interactive Bi-Level Multi-Objective Integer. Non-linear Programming Problem Appled Mathematcal Scences Vol 5 0 no 65 3 33 Interactve B-Level Mult-Objectve Integer Non-lnear Programmng Problem O E Emam Department of Informaton Systems aculty of Computer Scence and nformaton Helwan

More information

Pulse Coded Modulation

Pulse Coded Modulation Pulse Coded Modulaton PCM (Pulse Coded Modulaton) s a voce codng technque defned by the ITU-T G.711 standard and t s used n dgtal telephony to encode the voce sgnal. The frst step n the analog to dgtal

More information

Introducing Entropy Distributions

Introducing Entropy Distributions Graubner, Schdt & Proske: Proceedngs of the 6 th Internatonal Probablstc Workshop, Darstadt 8 Introducng Entropy Dstrbutons Noel van Erp & Peter van Gelder Structural Hydraulc Engneerng and Probablstc

More information

LINEAR REGRESSION ANALYSIS. MODULE IX Lecture Multicollinearity

LINEAR REGRESSION ANALYSIS. MODULE IX Lecture Multicollinearity LINEAR REGRESSION ANALYSIS MODULE IX Lecture - 30 Multcollnearty Dr. Shalabh Department of Mathematcs and Statstcs Indan Insttute of Technology Kanpur 2 Remedes for multcollnearty Varous technques have

More information

CONTRAST ENHANCEMENT FOR MIMIMUM MEAN BRIGHTNESS ERROR FROM HISTOGRAM PARTITIONING INTRODUCTION

CONTRAST ENHANCEMENT FOR MIMIMUM MEAN BRIGHTNESS ERROR FROM HISTOGRAM PARTITIONING INTRODUCTION CONTRAST ENHANCEMENT FOR MIMIMUM MEAN BRIGHTNESS ERROR FROM HISTOGRAM PARTITIONING N. Phanthuna 1,2, F. Cheevasuvt 2 and S. Chtwong 2 1 Department of Electrcal Engneerng, Faculty of Engneerng Rajamangala

More information

Research Article Green s Theorem for Sign Data

Research Article Green s Theorem for Sign Data Internatonal Scholarly Research Network ISRN Appled Mathematcs Volume 2012, Artcle ID 539359, 10 pages do:10.5402/2012/539359 Research Artcle Green s Theorem for Sgn Data Lous M. Houston The Unversty of

More information

Study on Project Bidding Risk Evaluation Based on BP Neural Network Theory

Study on Project Bidding Risk Evaluation Based on BP Neural Network Theory 1192 Proceedngs of the 7th Internatonal Conference on Innovaton & Management Study on Proect Bddng Rs Evaluaton Based on BP Neural Networ Theory Wang Xnzheng 1, He Png 2 1 School of Cvl Engneerng, Nanyang

More information

Multi-granulation Fuzzy Rough Sets in a Fuzzy Tolerance Approximation Space

Multi-granulation Fuzzy Rough Sets in a Fuzzy Tolerance Approximation Space 46 Internatonal Journal of Fuzzy Systes Vol No 4 Deceber 0 Mult-granulaton Fuzzy Rough Sets n a Fuzzy Tolerance pproxaton Space Wehua Xu Qaorong Wang and Xantao Zhang bstract ased on the analyss of the

More information

What is LP? LP is an optimization technique that allocates limited resources among competing activities in the best possible manner.

What is LP? LP is an optimization technique that allocates limited resources among competing activities in the best possible manner. (C) 998 Gerald B Sheblé, all rghts reserved Lnear Prograng Introducton Contents I. What s LP? II. LP Theor III. The Splex Method IV. Refneents to the Splex Method What s LP? LP s an optzaton technque that

More information

An Admission Control Algorithm in Cloud Computing Systems

An Admission Control Algorithm in Cloud Computing Systems An Admsson Control Algorthm n Cloud Computng Systems Authors: Frank Yeong-Sung Ln Department of Informaton Management Natonal Tawan Unversty Tape, Tawan, R.O.C. ysln@m.ntu.edu.tw Yngje Lan Management Scence

More information

ON THE NUMBER OF PRIMITIVE PYTHAGOREAN QUINTUPLES

ON THE NUMBER OF PRIMITIVE PYTHAGOREAN QUINTUPLES Journal of Algebra, Nuber Theory: Advances and Applcatons Volue 3, Nuber, 05, Pages 3-8 ON THE NUMBER OF PRIMITIVE PYTHAGOREAN QUINTUPLES Feldstrasse 45 CH-8004, Zürch Swtzerland e-al: whurlann@bluewn.ch

More information

A DIMENSIONALITY REDUCTION ALGORITHM OF HYPER SPECTRAL IMAGE BASED ON FRACT ANALYSIS

A DIMENSIONALITY REDUCTION ALGORITHM OF HYPER SPECTRAL IMAGE BASED ON FRACT ANALYSIS A DIMENSIONALITY REDUCTION ALGORITHM O HYPER SPECTRAL IMAGE BASED ON RACT ANALYSIS SU Junyng a, *, Shu Nng a a School of Reote Sensng and Inforaton Engneerng, Wuhan Unversty, Luoyu Road 9#, Wuhan, Hube,

More information

Correlation and Regression. Correlation 9.1. Correlation. Chapter 9

Correlation and Regression. Correlation 9.1. Correlation. Chapter 9 Chapter 9 Correlaton and Regresson 9. Correlaton Correlaton A correlaton s a relatonshp between two varables. The data can be represented b the ordered pars (, ) where s the ndependent (or eplanator) varable,

More information

Short Term Load Forecasting using an Artificial Neural Network

Short Term Load Forecasting using an Artificial Neural Network Short Term Load Forecastng usng an Artfcal Neural Network D. Kown 1, M. Km 1, C. Hong 1,, S. Cho 2 1 Department of Computer Scence, Sangmyung Unversty, Seoul, Korea 2 Department of Energy Grd, Sangmyung

More information

LECTURE :FACTOR ANALYSIS

LECTURE :FACTOR ANALYSIS LCUR :FACOR ANALYSIS Rta Osadchy Based on Lecture Notes by A. Ng Motvaton Dstrbuton coes fro MoG Have suffcent aount of data: >>n denson Use M to ft Mture of Gaussans nu. of tranng ponts If

More information