IMPROVED RATIO AND PRODUCT TYPE ESTIMATORS OF FINITE POPULATION MEAN IN SIMPLE RANDOM SAMPLING
|
|
- Lorraine Gregory
- 5 years ago
- Views:
Transcription
1 REVISTA IVESTIGAIO OPERAIOAL VOL. 6, O., 7-76, 6 IMPROVED RATIO AD PRODUT TPE ESTIMATORS OF FIITE POPULATIO MEA I SIMPLE RADOM SAMPLIG Gajndra K. Vshwaarma, Ravndra Sngh, P.. Gupa, Sarla Par Dparmn of Appld Mahmacs, Indan School of Mns, Dhanbad-6, Jharhand, Inda vshwag@rdffmal.com Dparmn of Mahmacs and Sascs, Banashal Unvrs, Japur-, Rajashan, Inda ravndrasngh@gmal.com ABSTRAT In hs papr, mprovd rao and produc p smaors hav bn dvlopd for smang h fn populaon man of h sud varabl usng aular nformaon n smpl random samplng SRS. Th prssons for h bas and man squar rror MSE of h proposd smaors ar oband undr frs ordr of appromaon. Thorcal and mprcal suds hav bn don o dmonsra h ffcncs of h proposd smaors ovr ohr wll nown smaors. KEWORDS: Sud varabl, Aular varabl, bas, MSE, Effcnc. MS: 6D5 RESUME En s rabajo smadors dl po razón produco mjorados han sdo dsarrrollados para smar la mda d una poblacón fna d la varabl bajo sudo usando nformacón aular n l musro smpl alaoro msa. Las prsons dl ssgo dl rror cuadráco mdo EM d los smadors propusos son obndos bajo apromacon d prmr ordn. Esudos órcos mpírcos han sdo dsarrollados para dmosar las fcncas d los smadors propusos rspco a oros smadors bn conocdos.. ITRODUTIO Th us of aular nformaon has bcom ndspnsabl for mprovng h prcson of h smaors of populaon paramrs such as h man and varanc of a varabl undr sud. A gra var of chnqus such as h rao, produc and rgrsson mhods of smaon ar commonl nown n hs rgard. Aular nformaon can b usd hr a h dsgn sag or a h smaon sag or a boh h sags. Kpng hs fac n vw, larg numbr of smaors hav bn suggsd n samplng lraur. Som noworh conrbuons n hs drcon hav bn mad b ochran9, Robson957, Murh96, Sngh 967, Saha 979, Bahl and Tuja 99, Sngh and Espjo, Sngh and Talor 5, Kadlar and ng 5, Sngh and Vshwaarma 7,, Shabbr al., and man ohrs. L U dno a fn populaon conssng of uns U, U,..., U }. Also, l, dno h 7 { sud varabl and h aular varabl ang valus,,,,...,, rspcvl, on h h un
2 U of h populaon U. On h assumpon ha h populaon man of s nown, h sma of populaon man of s oband b slcng a sampl of sz n n < from h populaon U usng smpl random samplng whou rplacmn SRSWOR schm. Th convnonal rao and produc smaors of ar gvn b R P whr and ar h sampl mans of and, rspcvl. Bahl and Tuja 99 suggsd h followng ponnal p rao and produc smaors for h populaon man : p p. PROPOSED ESTIMATORS W dfn h followng mprovd rao and produc p smaors for h populaon man n SRSWOR: 5 6 whr and ar ral consans o b drmnd such ha h MSEs of and ar mnmzd. Furhr, s obsrvd ha h smaors and rducs o a s of smaors {,, } b assgnng suabl valus o h consans and as follows: Usual unbasd smaor: for Bahl and Tuja 99 rao smaor: for Bahl and Tuja 99 produc smaor: for To oban h bas and MSE of h smaors and, w consdr Thn, w hav, E E E, E E f n S S S whr,, f,,,, n S S S, S, 7 7
3 7. S ow, prssng 5 and 6 n rms of,, and ranng h rms of s upo h scond dgr, w oban 9 Tang h pcaons n, 9, and usng rsuls n 7, w oban h bas of h smaors and o h rms of ordr n O as B B whr,. Agan, from and 9, b nglcng h rms of s havng dgr grar han on, w hav Squarng boh sds of and, ang h pcaon, and usng rsuls n 7, w oban h MSE of h smaors and o h rms of ordr n O as MSE MSE 5.. Opmal Valus of and Th opmal valus of and, for whch h MSE of h smaors and ar mnmzd, ar oband b usng h followng condons: MSE 6 MSE 7 On solvng 6 and 7, w hav
4 whr and 9 dno h rspcv opmal valus of and. Also, usng hs opmal valus of and n and 5, rspcvl, w oban h mnmum aanabl MSE of h smaors and as MSE MSE mn mn Rmar. Th mnmum aanabl MSEs n corrsponds o h MSEs of asmpoc opmum smaors AOEs opmal valus,.., and, whch ar oband on rplacng and, n 5 and 6 b hr rspcv and. So, w hav and MSE MSE To h frs dgr of appromaon, h MSE of h varous smaors lsd abov ar: MSE MSE R P V MSE MSE 5. EFFIIE OMPARISOS For mang ffcnc comparsons of h smaors and wh h sng smaors, w hav from, 5, and o 5, MSE < V f > 6 MSE < V f > 7 MSE < MSE f R < 7
5 v MSE < MSE f P < 9 v MSE < MSE f < v MSE < MSE f <. EMPIRIAL STUD To amn h mrs of h proposd smaors and ovr ohr sng smaors, w hav consdrd hr naural populaon daa ss as follows: Populaon I - [Sourc: Johnson 97] : Prcnag of hvs affcd b dsas : Man Januar mpraur Z : Da of flowrng of a parcular summr spcs numbr of das from Januar, n, 5,, Z,.,.9,.7, Z Z.,.7, Z. Populaon II - [Sourc: Sngh 969] : umbr of fmals mplod : umbr of fmals n srvc Z : umbr of ducad fmals 6, n, 7.6, 5., Z 79.,.777,.7, Z Z.,.56,.577, Z.6 Populaon III - [Sourc: Sl and Torr 96] : Log of laf burn n sc : Poassum prcnag Z : hlorn prcnag, n 6,.66,.657, Z.77,.79,.996, Z.7,.,.95, Z.79 Z Th prcnag rlav ffcncs PREs ar oband for varous suggsd smaors of wh rspc o h usual unbasd smaor and h fndngs ar prsnd n Tabl. 7
6 Tabl : Prcnag Rlav Effcncs PREs of varous smaors wh rspc o Esmaors Aular varabls usd Populaon I Populaon II Populaon III -... R P Z Z Z OLUSIOS From Tabl, s obsrvd ha: For all h populaon daa ss, h PRE of h proposd rao smaor s mor han ha of h usual unbasd smaor, h rao smaor R and h Bahl and Tuja 99 rao smaor. For all h populaon daa ss, h PRE of h proposd produc smaor s mor han ha of h usual unbasd smaor, h produc smaor P and h Bahl and Tuja 99 produc smaor. So, h proposd smaors and ouprforms h ohr sng smaors of h samplng lraur, and hnc can b prfrrd for praccal applcaons. Acnowldgmn: Th auhors ar hanful o h dor and h larnd rfrs for hr valuabl commns and suggsons owards h mprovmn of h papr. REEIVED SEPTEMBER, REVISED MA, 5 REFEREES [] BAHL, S. and TUTEJA, R.K. 99: Rao and produc p ponnal smaor. Informaon and Opmzaon Scncs,, [] OHRA, W.G. 9: Th smaon of h lds of h cral prmns b samplng for h rao of gran o oal produc. Th Journal of Agrculural Scnc,, [] JOHSTO, J. 97: Economrc mhods nd dn.. Mc Graw Hll Boo o., Too. [] KADILAR,. and IGI, H. 5: A nw smaor usng wo aular varabls. Appld Mahmacs and ompuaon, 6, 9-9. [5] MURTH, M.. 96: Produc mhod of smaon. Th Indan Journal of Sascs, Srs A, 6, [6] ROBSO, D. S. 957: Applcaon of mulvara polas o h hor of unbasd rao-p smaon. Journal of Amrcan Sascal Assocaon, 5, 5-5. [7] SAHAI, A. 979: An ffcn varan of h produc and rao smaors. Sasca rlandca,,, 7-5. [] SHABBIR, J., HAQ, A. and GUPTA, S. : A nw dffrnc-cum-ponnal p smaor of fn populaon man n smpl random samplng. Rvsa olombana d Esadsca, 7, [9] SIGH, H.P. and ESPEJO, M.R.: On lnar rgrsson and rao-produc smaon of a fn populaon man. Journal of h Roal Sascal Soc, 5,
7 [] SIGH, H. P. and TAILOR, R.5: Esmaon of fn populaon man usng nown corrlaon coffcn bwn aular characrs. Sasca, LV,, 7-. [] SIGH, H.P. and VISHWAKARMA, G.K. 7: Modfd ponnal rao and produc smaors for fn populaon man n doubl samplng. Ausran Journal of Sascs, 6,, 7-5, [] SIGH, H.P. and VISHWAKARMA, G.K. : Som smaors of fn populaon man usng aular nformaon n sampl survs. Journal of Appld Sascal Scncs, 6,, -. [] SIGH, M.P. 967: Rao-cum-produc mhod of smaon. Mra,, -7. [] SIGH, M.P. 969: omparson of som rao-cum-produc smaors. Sanha, B,, [5] STEEL, R.G.D. and TORRIE, J.H. 96: Prncpls and Procdurs of Sascs. Mc Graw Hll Boo o. 76
Mixture Ratio Estimators Using Multi-Auxiliary Variables and Attributes for Two-Phase Sampling
Opn Journal of Sascs 04 4 776-788 Publshd Onln Ocobr 04 n Scs hp://scrporg/ournal/os hp://ddoorg/0436/os0449073 Mur ao Esmaors Usng Mul-Aular Varabls and Arbus for To-Phas Samplng Paul Mang Waru John Kung
More informationAlmost unbiased exponential estimator for the finite population mean
Almos ubasd poal smaor for f populao ma Rajs Sg, Pakaj aua, ad rmala Saa, Scool of Sascs, DAVV, Idor (M.P., Ida (rsgsa@aoo.com Flor Smaradac ar of Dparm of Mamacs, Uvrs of Mco, Gallup, USA (smarad@um.du
More informationA Class of Improved Estimators for Estimating Population Mean Regarding Partial Information in Double Sampling
Gloal Journal of Scnc Fronr Rsarch Mahmacs and Dcson Scncs Volum Issu 4 Vrson.0 ar 0 p : Doul Blnd Pr Rvwd Inrnaonal Rsarch Journal Pulshr: Gloal Journals Inc. USA Onln ISSN: 49-466 & Prn ISSN: 0975-5896
More informationAlmost Unbiased Exponential Estimator for the Finite Population Mean
Rajs Sg, Pakaj aua, rmala Saa Scool of Sascs, DAVV, Idor (M.P., Ida Flor Smaradac Uvrs of Mco, USA Almos Ubasd Epoal Esmaor for F Populao Ma Publsd : Rajs Sg, Pakaj aua, rmala Saa, Flor Smaradac (Edors
More informationImproved Exponential Estimator for Population Variance Using Two Auxiliary Variables
Improvd Epoal Emaor for Populao Varac Ug Two Aular Varabl Rajh gh Dparm of ac,baara Hdu Uvr(U.P., Ida (rgha@ahoo.com Pakaj Chauha ad rmala awa chool of ac, DAVV, Idor (M.P., Ida Flor maradach Dparm of
More informationImproved Exponential Estimator for Population Variance Using Two Auxiliary Variables
Rajh gh Dparm of ac,baara Hdu Uvr(U.P.), Ida Pakaj Chauha, rmala awa chool of ac, DAVV, Idor (M.P.), Ida Flor maradach Dparm of Mahmac, Uvr of w Mco, Gallup, UA Improvd Epoal Emaor for Populao Varac Ug
More informationConsider a system of 2 simultaneous first order linear equations
Soluon of sysms of frs ordr lnar quaons onsdr a sysm of smulanous frs ordr lnar quaons a b c d I has h alrna mar-vcor rprsnaon a b c d Or, n shorhand A, f A s alrady known from con W know ha h abov sysm
More informationImproved Ratio Estimators for Population Mean Based on Median Using Linear Combination of Population Mean and Median of an Auxiliary Variable
rcan Journal of Opraonal Rsarch : -7 DOI:.59/j.ajor.. Iprov Rao saors for Populaon an as on an Usng Lnar Cobnaon of Populaon an an an of an uxlar arabl Subhash Kuar aav San Sharan shra * lok Kuar Shukla
More informationSummary: Solving a Homogeneous System of Two Linear First Order Equations in Two Unknowns
Summary: Solvng a Homognous Sysm of Two Lnar Frs Ordr Equaons n Two Unknowns Gvn: A Frs fnd h wo gnvalus, r, and hr rspcv corrspondng gnvcors, k, of h coffcn mar A Dpndng on h gnvalus and gnvcors, h gnral
More informationThe Variance-Covariance Matrix
Th Varanc-Covaranc Marx Our bggs a so-ar has bn ng a lnar uncon o a s o daa by mnmzng h las squars drncs rom h o h daa wh mnsarch. Whn analyzng non-lnar daa you hav o us a program l Malab as many yps o
More information9. Simple Rules for Monetary Policy
9. Smpl Ruls for Monar Polc John B. Talor, Ma 0, 03 Woodford, AR 00 ovrvw papr Purpos s o consdr o wha xn hs prscrpon rsmbls h sor of polc ha conomc hor would rcommnd Bu frs, l s rvw how hs sor of polc
More informationSupplementary Figure 1. Experiment and simulation with finite qudit. anharmonicity. (a), Experimental data taken after a 60 ns three-tone pulse.
Supplmnar Fgur. Eprmn and smulaon wh fn qud anharmonc. a, Eprmnal daa akn afr a 6 ns hr-on puls. b, Smulaon usng h amlonan. Supplmnar Fgur. Phagoran dnamcs n h m doman. a, Eprmnal daa. Th hr-on puls s
More informationAdvanced Queueing Theory. M/G/1 Queueing Systems
Advand Quung Thory Ths slds ar rad by Dr. Yh Huang of Gorg Mason Unvrsy. Sudns rgsrd n Dr. Huang's ourss a GMU an ma a sngl mahn-radabl opy and prn a sngl opy of ah sld for hr own rfrn, so long as ah sld
More informationImprovement in Estimating Population Mean using Two Auxiliary Variables in Two-Phase Sampling
Rajesh ngh Deparmen of ascs, Banaras Hndu Unvers(U.P.), Inda Pankaj Chauhan, Nrmala awan chool of ascs, DAVV, Indore (M.P.), Inda Florenn marandache Deparmen of Mahemacs, Unvers of New Meco, Gallup, UA
More informationinnovations shocks white noise
Innovaons Tm-srs modls ar consrucd as lnar funcons of fundamnal forcasng rrors, also calld nnovaons or shocks Ths basc buldng blocks sasf var σ Srall uncorrlad Ths rrors ar calld wh nos In gnral, f ou
More informationConvergence of Quintic Spline Interpolation
Inrnaonal Journal o ompur Applcaons 97 8887 Volum 7 No., Aprl onvrgnc o Qunc Spln Inrpolaon Y.P. Dub Dparmn O Mamacs, L.N..T. Jabalpur 8 Anl Sukla Dparmn O Mamacs Gan Ganga ollg O Tcnog, Jabalpur 8 ASTRAT
More informationLecture 4 : Backpropagation Algorithm. Prof. Seul Jung ( Intelligent Systems and Emotional Engineering Laboratory) Chungnam National University
Lcur 4 : Bacpropagaon Algorhm Pro. Sul Jung Inllgn Sm and moonal ngnrng Laboraor Chungnam Naonal Unvr Inroducon o Bacpropagaon algorhm 969 Mn and Papr aac. 980 Parr and Wrbo dcovrd bac propagaon algorhm.
More informationFrequency Response. Response of an LTI System to Eigenfunction
Frquncy Rsons Las m w Rvsd formal dfnons of lnary and m-nvaranc Found an gnfuncon for lnar m-nvaran sysms Found h frquncy rsons of a lnar sysm o gnfuncon nu Found h frquncy rsons for cascad, fdbac, dffrnc
More informationMathematical Statistics. Chapter VIII Sampling Distributions and the Central Limit Theorem
Mahmacal ascs 8 Chapr VIII amplg Dsrbos ad h Cral Lm Thorm Fcos of radom arabls ar sall of rs sascal applcao Cosdr a s of obsrabl radom arabls L For ampl sppos h arabls ar a radom sampl of s from a poplao
More informationCHAPTER: 3 INVERSE EXPONENTIAL DISTRIBUTION: DIFFERENT METHOD OF ESTIMATIONS
CHAPTER: 3 INVERSE EXPONENTIAL DISTRIBUTION: DIFFERENT METHOD OF ESTIMATIONS 3. INTRODUCTION Th Ivrs Expoal dsrbuo was roducd by Kllr ad Kamah (98) ad has b sudd ad dscussd as a lfm modl. If a radom varabl
More informationImprovement in Estimating Population Mean using Two Auxiliary Variables in Two-Phase Sampling
Improvemen n Esmang Populaon Mean usng Two Auxlar Varables n Two-Phase amplng Rajesh ngh Deparmen of ascs, Banaras Hndu Unvers(U.P.), Inda (rsnghsa@ahoo.com) Pankaj Chauhan and Nrmala awan chool of ascs,
More informationExponential Type Product Estimator for Finite Population Mean with Information on Auxiliary Attribute
Avalable at http://pvamu.edu/aam Appl. Appl. Math. ISSN: 193-9466 Vol. 10, Issue 1 (June 015), pp. 106-113 Applcatons and Appled Mathematcs: An Internatonal Journal (AAM) Exponental Tpe Product Estmator
More informationImplementation of the Extended Conjugate Gradient Method for the Two- Dimensional Energized Wave Equation
Lonardo Elcronc Jornal of raccs and Tchnolos ISSN 58-078 Iss 9 Jl-Dcmbr 006 p. -4 Implmnaon of h Endd Cona Gradn Mhod for h Two- Dmnsonal Enrd Wav Eqaon Vcor Onoma WAZIRI * Snda Ass REJU Mahmacs/Compr
More informationDr. Junchao Xia Center of Biophysics and Computational Biology. Fall /21/2016 1/23
BIO53 Bosascs Lcur 04: Cral Lm Thorm ad Thr Dsrbuos Drvd from h Normal Dsrbuo Dr. Juchao a Cr of Bophyscs ad Compuaoal Bology Fall 06 906 3 Iroduco I hs lcur w wll alk abou ma cocps as lsd blow, pcd valu
More informationBoosting and Ensemble Methods
Boosng and Ensmbl Mhods PAC Larnng modl Som dsrbuon D ovr doman X Eampls: c* s h arg funcon Goal: Wh hgh probably -d fnd h n H such ha rrorh,c* < d and ar arbrarly small. Inro o ML 2 Wak Larnng
More informationTheoretical Seismology
Thorcal Ssmology Lcur 9 Sgnal Procssng Fourr analyss Fourr sudd a h Écol Normal n Pars, augh by Lagrang, who Fourr dscrbd as h frs among Europan mn of scnc, Laplac, who Fourr rad lss hghly, and by Mong.
More informationRatio-Product Type Exponential Estimator For Estimating Finite Population Mean Using Information On Auxiliary Attribute
Raio-Produc T Exonnial Esimaor For Esimaing Fini Poulaion Man Using Informaion On Auxiliar Aribu Rajsh Singh, Pankaj hauhan, and Nirmala Sawan, School of Saisics, DAVV, Indor (M.P., India (rsinghsa@ahoo.com
More informationHomework: Introduction to Motion
Homwork: Inroducon o Moon Dsanc vs. Tm Graphs Nam Prod Drcons: Answr h foowng qusons n h spacs provdd. 1. Wha do you do o cra a horzona n on a dsancm graph? 2. How do you wak o cra a sragh n ha sops up?
More informationCHAPTER 7d. DIFFERENTIATION AND INTEGRATION
CHAPTER 7d. DIFFERENTIATION AND INTEGRATION A. J. Clark School o Engnrng Dpartmnt o Cvl and Envronmntal Engnrng by Dr. Ibrahm A. Assakka Sprng ENCE - Computaton Mthods n Cvl Engnrng II Dpartmnt o Cvl and
More informationApplying Software Reliability Techniques to Low Retail Demand Estimation
Applyng Sofwar Rlably Tchnqus o Low Ral Dmand Esmaon Ma Lndsy Unvrsy of Norh Txas ITDS Dp P.O. Box 30549 Dnon, TX 7603-549 940 565 3174 lndsym@un.du Robr Pavur Unvrsy of Norh Txas ITDS Dp P.O. Box 30549
More informationSIMEON BALL AND AART BLOKHUIS
A BOUND FOR THE MAXIMUM WEIGHT OF A LINEAR CODE SIMEON BALL AND AART BLOKHUIS Absrac. I s shown ha h paramrs of a lnar cod ovr F q of lngh n, dmnson k, mnmum wgh d and maxmum wgh m sasfy a cran congrunc
More information(heat loss divided by total enthalpy flux) is of the order of 8-16 times
16.51, Rok Prolson Prof. Manl Marnz-Sanhz r 8: Convv Ha ransfr: Ohr Effs Ovrall Ha oss and Prforman Effs of Ha oss (1) Ovrall Ha oss h loal ha loss r n ara s q = ρ ( ) ngrad ha loss s a S, and sng m =
More informationMicroscopic Flow Characteristics Time Headway - Distribution
CE57: Traffic Flow Thory Spring 20 Wk 2 Modling Hadway Disribuion Microscopic Flow Characrisics Tim Hadway - Disribuion Tim Hadway Dfiniion Tim Hadway vrsus Gap Ahmd Abdl-Rahim Civil Enginring Dparmn,
More informationA Note on Estimability in Linear Models
Intrnatonal Journal of Statstcs and Applcatons 2014, 4(4): 212-216 DOI: 10.5923/j.statstcs.20140404.06 A Not on Estmablty n Lnar Modls S. O. Adymo 1,*, F. N. Nwob 2 1 Dpartmnt of Mathmatcs and Statstcs,
More informationImprovement in Estimating the Population Mean Using Exponential Estimator in Simple Random Sampling
Bulletn of Statstcs & Economcs Autumn 009; Volume 3; Number A09; Bull. Stat. Econ. ISSN 0973-70; Copyrght 009 by BSE CESER Improvement n Estmatng the Populaton Mean Usng Eponental Estmator n Smple Random
More informationState Observer Design
Sa Obsrvr Dsgn A. Khak Sdgh Conrol Sysms Group Faculy of Elcrcal and Compur Engnrng K. N. Toos Unvrsy of Tchnology Fbruary 2009 1 Problm Formulaon A ky assumpon n gnvalu assgnmn and sablzng sysms usng
More informationProblem 1: Consider the following stationary data generation process for a random variable y t. e t ~ N(0,1) i.i.d.
A/CN C m Sr Anal Profor Òcar Jordà Wnr conomc.c. Dav POBLM S SOLIONS Par I Analcal Quon Problm : Condr h followng aonar daa gnraon proc for a random varabl - N..d. wh < and N -. a Oban h populaon man varanc
More informationReliability analysis of time - dependent stress - strength system when the number of cycles follows binomial distribution
raoal Joural of Sascs ad Ssms SSN 97-675 Volum, Numbr 7,. 575-58 sarch da Publcaos h://www.rublcao.com labl aalss of m - dd srss - srgh ssm wh h umbr of ccls follows bomal dsrbuo T.Sumah Umamahswar, N.Swah,
More informationInstitute of Actuaries of India
Insiu of Acuaris of India ubjc CT3 Probabiliy and Mahmaical aisics Novmbr Examinaions INDICATIVE OLUTION Pag of IAI CT3 Novmbr ol. a sampl man = 35 sampl sandard dviaion = 36.6 b for = uppr bound = 35+*36.6
More informationSafety and Reliability of Embedded Systems. (Sicherheit und Zuverlässigkeit eingebetteter Systeme) Stochastic Reliability Analysis
Safy and Rlably of Embddd Sysms (Schrh und Zuvrlässgk ngbr Sysm) Sochasc Rlably Analyss Safy and Rlably of Embddd Sysms Conn Dfnon of Rlably Hardwar- vs. Sofwar Rlably Tool Asssd Rlably Modlng Dscrpons
More informationComparative Study of Finite Element and Haar Wavelet Correlation Method for the Numerical Solution of Parabolic Type Partial Differential Equations
ISS 746-7659, England, UK Journal of Informaon and Compung Scnc Vol., o. 3, 6, pp.88-7 Comparav Sudy of Fn Elmn and Haar Wavl Corrlaon Mhod for h umrcal Soluon of Parabolc Typ Paral Dffrnal Equaons S.
More informationIMPUTATION USING REGRESSION ESTIMATORS FOR ESTIMATING POPULATION MEAN IN TWO-PHASE SAMPLING
Joural of Rlal ad asal uds; I (Pr: 097-80, (Ol:9- ol., Issu (0: - IPUAIO UIG RGRIO IAOR FOR IAIG POPUAIO A I WO-PHA APIG ardra gh hakur, Kalpaa adav ad harad Pahak r for ahmaal s (, Baashal Uvrs, Rajasha,
More informationSafety and Reliability of Embedded Systems. (Sicherheit und Zuverlässigkeit eingebetteter Systeme) Stochastic Reliability Analysis
(Schrh und Zuvrlässgk ngbr Sysm) Sochasc Rlably Analyss Conn Dfnon of Rlably Hardwar- vs. Sofwar Rlably Tool Asssd Rlably Modlng Dscrpons of Falurs ovr Tm Rlably Modlng Exampls of Dsrbuon Funcons Th xponnal
More informationSOME NOISELESS CODING THEOREMS OF INACCURACY MEASURE OF ORDER α AND TYPE β
SARAJEVO JOURNAL OF MATHEMATICS Vol.3 (15) (2007), 137 143 SOME NOISELESS CODING THEOREMS OF INACCURACY MEASURE OF ORDER α AND TYPE β M. A. K. BAIG AND RAYEES AHMAD DAR Absrac. In hs paper, we propose
More informationDepartment of Economics University of Toronto
Deparmen of Economcs Unversy of Torono ECO408F M.A. Economercs Lecure Noes on Heeroskedascy Heeroskedascy o Ths lecure nvolves lookng a modfcaons we need o make o deal wh he regresson model when some of
More informationESTIMATION OF FINITE POPULATION MEAN USING KNOWN CORRELATION COEFFICIENT BETWEEN AUXILIARY CHARACTERS
STATISTICA, anno LXV, n. 4, 005 ESTIMATION OF FINITE POPULATION MEAN USING KNOWN CORRELATION COEFFICIENT BETWEEN AUXILIAR CHARACTERS. INTRODUCTION Let U { U, U,..., U N } be a finite population of N units.
More informationOn the Derivatives of Bessel and Modified Bessel Functions with Respect to the Order and the Argument
Inrnaional Rsarch Journal of Applid Basic Scincs 03 Aailabl onlin a wwwirjabscom ISSN 5-838X / Vol 4 (): 47-433 Scinc Eplorr Publicaions On h Driais of Bssl Modifid Bssl Funcions wih Rspc o h Ordr h Argumn
More informationAppendix H: Rarefaction and extrapolation of Hill numbers for incidence data
Anne Chao Ncholas J Goell C seh lzabeh L ander K Ma Rober K Colwell and Aaron M llson 03 Rarefacon and erapolaon wh ll numbers: a framewor for samplng and esmaon n speces dversy sudes cology Monographs
More informationIn the complete model, these slopes are ANALYSIS OF VARIANCE FOR THE COMPLETE TWO-WAY MODEL. (! i+1 -! i ) + [(!") i+1,q - [(!
ANALYSIS OF VARIANCE FOR THE COMPLETE TWO-WAY MODEL The frs hng o es n wo-way ANOVA: Is here neracon? "No neracon" means: The man effecs model would f. Ths n urn means: In he neracon plo (wh A on he horzonal
More informationChapter 9 Transient Response
har 9 Transn sons har 9: Ouln N F n F Frs-Ordr Transns Frs-Ordr rcus Frs ordr crcus: rcus conan onl on nducor or on caacor gornd b frs-ordr dffrnal quaons. Zro-nu rsons: h crcu has no ald sourc afr a cran
More informationELEN E4830 Digital Image Processing
ELEN E48 Dgal Imag Procssng Mrm Eamnaon Sprng Soluon Problm Quanzaon and Human Encodng r k u P u P u r r 6 6 6 6 5 6 4 8 8 4 P r 6 6 P r 4 8 8 6 8 4 r 8 4 8 4 7 8 r 6 6 6 6 P r 8 4 8 P r 6 6 8 5 P r /
More informationLecture 1: Numerical Integration The Trapezoidal and Simpson s Rule
Lcur : Numrical ngraion Th Trapzoidal and Simpson s Rul A problm Th probabiliy of a normally disribud (man µ and sandard dviaion σ ) vn occurring bwn h valus a and b is B A P( a x b) d () π whr a µ b -
More informationOn The Estimation of Population Mean in Current Occasion in Two- Occasion Rotation Patterns
J. Stat. Appl. Pro. 4 No. 305-33 (05) 305 Journal of Statstcs Applcatons & Probablt An Internatonal Journal http://d.do.org/0.785/jsap/0405 On The stmaton of Populaton Mean n Current Occason n Two- Occason
More informationF-Tests and Analysis of Variance (ANOVA) in the Simple Linear Regression Model. 1. Introduction
ECOOMICS 35* -- OTE 9 ECO 35* -- OTE 9 F-Tess and Analyss of Varance (AOVA n he Smple Lnear Regresson Model Inroducon The smple lnear regresson model s gven by he followng populaon regresson equaon, or
More informationImproved exponential estimator for population variance using two auxiliary variables
OCTOGON MATHEMATICAL MAGAZINE Vol. 7, No., October 009, pp 667-67 ISSN -5657, ISBN 97-973-55-5-0, www.hetfalu.ro/octogo 667 Improved expoetial estimator for populatio variace usig two auxiliar variables
More information10/7/14. Mixture Models. Comp 135 Introduction to Machine Learning and Data Mining. Maximum likelihood estimation. Mixture of Normals in 1D
Comp 35 Introducton to Machn Larnng and Data Mnng Fall 204 rofssor: Ron Khardon Mxtur Modls Motvatd by soft k-mans w dvlopd a gnratv modl for clustrng. Assum thr ar k clustrs Clustrs ar not rqurd to hav
More informationRegression-Cum-Exponential Ratio Type Estimators for the Population Mean
Middle-East Journal of Scientific Research 19 (1: 1716-171, 014 ISSN 1990-933 IDOSI Publications, 014 DOI: 10.589/idosi.mejsr.014.19.1.635 Regression-um-Eponential Ratio Tpe Estimats f the Population Mean
More informationConventional Hot-Wire Anemometer
Convnonal Ho-Wr Anmomr cro Ho Wr Avanag much mallr prob z mm o µm br paal roluon array o h nor hghr rquncy rpon lowr co prormanc/co abrcaon roc I µm lghly op p layr 8µm havly boron op ch op layr abrcaon
More informationEXERCISE - 01 CHECK YOUR GRASP
DIFFERENTIAL EQUATION EXERCISE - CHECK YOUR GRASP 7. m hn D() m m, D () m m. hn givn D () m m D D D + m m m m m m + m m m m + ( m ) (m ) (m ) (m + ) m,, Hnc numbr of valus of mn will b. n ( ) + c sinc
More informationFolding of Regular CW-Complexes
Ald Mathmatcal Scncs, Vol. 6,, no. 83, 437-446 Foldng of Rgular CW-Comlxs E. M. El-Kholy and S N. Daoud,3. Dartmnt of Mathmatcs, Faculty of Scnc Tanta Unvrsty,Tanta,Egyt. Dartmnt of Mathmatcs, Faculty
More informationAn Indian Journal FULL PAPER. Trade Science Inc. The interest rate level and the loose or tight monetary policy -- based on the fisher effect ABSTRACT
[Typ x] [Typ x] [Typ x] ISSN : 0974 7435 Volum 10 Issu 18 BoTchnology 2014 An Indan Journal FULL PAPER BTAIJ, 10(18), 2014 [1042510430] Th nrs ra lvl and h loos or gh monary polcy basd on h fshr ffc Zhao
More informationRobust decentralized control with scalar output of multivariable structurally uncertain plants with state delay 1
rprns of h 8h IFAC World Congrss lano Ial Augus 8 - Spmbr obus dcnralzd conrol wh scalar oupu of mulvarabl srucurall uncran plans wh sa dla Elzava arshva Absrac h problm of a robus conrol ssm dsgn for
More informationSun and Geosphere, 2008; 3(1): ISSN
Sun Gosphr, 8; 3(): 5-56 ISSN 89-839 h Imporanc of Ha Conducon scos n Solar Corona Comparson of Magnohdrodnamc Equaons of On-Flud wo-flud Srucur n Currn Sh Um Dn Gor Asronom Spac Scncs Dparmn, Scnc Facul,
More informationTransient Analysis of Two-dimensional State M/G/1 Queueing Model with Multiple Vacations and Bernoulli Schedule
Inrnaonal Journal of Compur Applcaons (975 8887) Volum 4 No.3, Fbruary 22 Transn Analyss of Two-dmnsonal Sa M/G/ Quung Modl wh Mulpl Vacaons and Brnoull Schdul Indra Assoca rofssor Dparmn of Sascs and
More informationA CHAIN RATIO EXPONENTIAL TYPE ESTIMATOR IN TWO- PHASE SAMPLING USING AUXILIARY INFORMATION
STATISTICA, anno LXXIII, n. 2, 2013 A CHAIN RATIO EXPONENTIAL TYPE ESTIMATOR IN TWO- PHASE SAMPLING USING AUXILIARY INFORMATION Rohini Yadav Department of Applied Mathematics, Indian School of Mines, Dhanbad,
More informationGroup Codes Define Over Dihedral Groups of Small Order
Malaysan Journal of Mathmatcal Scncs 7(S): 0- (0) Spcal Issu: Th rd Intrnatonal Confrnc on Cryptology & Computr Scurty 0 (CRYPTOLOGY0) MALAYSIA JOURAL OF MATHEMATICAL SCIECES Journal hompag: http://nspm.upm.du.my/ournal
More informationPerformance Analysis for a Network having Standby Redundant Unit with Waiting in Repair
TECHNI Inernaonal Journal of Compung Scence Communcaon Technologes VOL.5 NO. July 22 (ISSN 974-3375 erformance nalyss for a Nework havng Sby edundan Un wh ang n epar Jendra Sngh 2 abns orwal 2 Deparmen
More informationAnalyzing Frequencies
Frquncy (# ndvduals) Frquncy (# ndvduals) /3/16 H o : No dffrnc n obsrvd sz frquncs and that prdctd by growth modl How would you analyz ths data? 15 Obsrvd Numbr 15 Expctd Numbr from growth modl 1 1 5
More informationMultivariate Ratio Estimation With Known Population Proportion Of Two Auxiliary Characters For Finite Population
Multvarate Rato Estmaton Wth Knon Populaton Proporton Of To Auxlar haracters For Fnte Populaton *Raesh Sngh, *Sachn Mal, **A. A. Adeara, ***Florentn Smarandache *Department of Statstcs, Banaras Hndu Unverst,Varanas-5,
More informationWe are estimating the density of long distant migrant (LDM) birds in wetlands along Lake Michigan.
Ch 17 Random ffecs and Mxed Models 17. Random ffecs Models We are esmang he densy of long dsan mgran (LDM) brds n welands along Lake Mchgan. μ + = LDM per hecaren h weland ~ N(0, ) The varably of expeced
More informationGuaranteed Cost Control for a Class of Uncertain Delay Systems with Actuator Failures Based on Switching Method
49 Inrnaonal Journal of Conrol, Ru Wang Auomaon, and Jun and Zhao Sysms, vol. 5, no. 5, pp. 49-5, Ocobr 7 Guarand Cos Conrol for a Class of Uncran Dlay Sysms wh Acuaor Falurs Basd on Swchng Mhod Ru Wang
More informationGaussian Random Process and Its Application for Detecting the Ionospheric Disturbances Using GPS
Journal of Global Posonng Sysms (005) Vol. 4, No. 1-: 76-81 Gaussan Random Procss and Is Applcaon for Dcng h Ionosphrc Dsurbancs Usng GPS H.. Zhang 1,, J. Wang 3, W. Y. Zhu 1, C. Huang 1 (1) Shangha Asronomcal
More information8-node quadrilateral element. Numerical integration
Fnt Elmnt Mthod lctur nots _nod quadrlatral lmnt Pag of 0 -nod quadrlatral lmnt. Numrcal ntgraton h tchnqu usd for th formulaton of th lnar trangl can b formall tndd to construct quadrlatral lmnts as wll
More informationLogistic equation of Human population growth (generalization to the case of reactive environment).
Logisic quaion of Human populaion growh gnralizaion o h cas of raciv nvironmn. Srg V. Ershkov Insiu for Tim aur Exploraions M.V. Lomonosov's Moscow Sa Univrsi Lninski gor - Moscow 999 ussia -mail: srgj-rshkov@andx.ru
More informationUNIT #5 EXPONENTIAL AND LOGARITHMIC FUNCTIONS
Answr Ky Nam: Da: UNIT # EXPONENTIAL AND LOGARITHMIC FUNCTIONS Par I Qusions. Th prssion is quivaln o () () 6 6 6. Th ponnial funcion y 6 could rwrin as y () y y 6 () y y (). Th prssion a is quivaln o
More informationEstimation of Population Variance Using a Generalized Double Sampling Estimator
r Laka Joural o Appl tatstcs Vol 5-3 stmato o Populato Varac Us a Gralz Doubl ampl stmator Push Msra * a R. Kara h Dpartmt o tatstcs D.A.V.P.G. Coll Dhrau- 8 Uttarakha Ia. Dpartmt o tatstcs Luckow Uvrst
More informationST 524 NCSU - Fall 2008 One way Analysis of variance Variances not homogeneous
ST 54 NCSU - Fall 008 On way Analyss of varanc Varancs not homognous On way Analyss of varanc Exampl (Yandll, 997) A plant scntst masurd th concntraton of a partcular vrus n plant sap usng ELISA (nzym-lnkd
More informationNAME: ANSWER KEY DATE: PERIOD. DIRECTIONS: MULTIPLE CHOICE. Choose the letter of the correct answer.
R A T T L E R S S L U G S NAME: ANSWER KEY DATE: PERIOD PREAP PHYSICS REIEW TWO KINEMATICS / GRAPHING FORM A DIRECTIONS: MULTIPLE CHOICE. Chs h r f h rr answr. Us h fgur bw answr qusns 1 and 2. 0 10 20
More informationThe Fourier Transform
/9/ Th ourr Transform Jan Baptst Josph ourr 768-83 Effcnt Data Rprsntaton Data can b rprsntd n many ways. Advantag usng an approprat rprsntaton. Eampls: osy ponts along a ln Color spac rd/grn/blu v.s.
More informationLecture 4: Laplace Transforms
Lur 4: Lapla Transforms Lapla and rlad ransformaions an b usd o solv diffrnial quaion and o rdu priodi nois in signals and imags. Basially, hy onvr h drivaiv opraions ino mulipliaion, diffrnial quaions
More informationLucas Test is based on Euler s theorem which states that if n is any integer and a is coprime to n, then a φ(n) 1modn.
Modul 10 Addtonal Topcs 10.1 Lctur 1 Prambl: Dtrmnng whthr a gvn ntgr s prm or compost s known as prmalty tstng. Thr ar prmalty tsts whch mrly tll us whthr a gvn ntgr s prm or not, wthout gvng us th factors
More informationReview - Probabilistic Classification
Mmoral Unvrsty of wfoundland Pattrn Rcognton Lctur 8 May 5, 6 http://www.ngr.mun.ca/~charlsr Offc Hours: Tusdays Thursdays 8:3-9:3 PM E- (untl furthr notc) Gvn lablld sampls { ɛc,,,..., } {. Estmat Rvw
More informationOn the Existence and uniqueness for solution of system Fractional Differential Equations
OSR Jourl o Mhms OSR-JM SSN: 78-578. Volum 4 ssu 3 Nov. - D. PP -5 www.osrjourls.org O h Es d uquss or soluo o ssm rol Drl Equos Mh Ad Al-Wh Dprm o Appld S Uvrs o holog Bghdd- rq Asr: hs ppr w d horm o
More informationRatio-Cum-Product Estimator Using Multiple Auxiliary Attributes in Two-Phase Sampling
On Jounal of Sascs, 04, 4, 46-57 Publshd Onln Jun 04 n Scs. h://www.sc.o/ounal/os h://dx.do.o/0.436/os.04.4404 ao-um-poduc Esmao Usn Mull Auxla Abus n Two-Phas Samln John Kun u, Lo Odono Damn of Mahmacs,
More informationt=0 t>0: + vr - i dvc Continuation
hapr Ga Dlay and rcus onnuaon s rcu Equaon >: S S Ths dffrnal quaon, oghr wh h nal condon, fully spcfs bhaor of crcu afr swch closs Our n challng: larn how o sol such quaons TUE/EE 57 nwrk analys 4/5 NdM
More informationEuler-Maruyama Approximation for Mean-Reverting Regime Switching CEV Process
Inrnaonal Confrnc on Appld Mahmac, Smulaon and Modllng (AMSM 6 Eulr-Maruyama Appromaon for Man-vrng gm Swchng CE Proc ung u* and Dan Wu Dparmn of Mahmac, Chna Jlang Unvry, Hangzhou, Chna * Corrpondng auhor
More informationEngineering Circuit Analysis 8th Edition Chapter Nine Exercise Solutions
Engnrng rcu naly 8h Eon hapr Nn Exrc Soluon. = KΩ, = µf, an uch ha h crcu rpon oramp. a For Sourc-fr paralll crcu: For oramp or b H 9V, V / hoo = H.7.8 ra / 5..7..9 9V 9..9..9 5.75,.5 5.75.5..9 . = nh,
More informationLet's revisit conditional probability, where the event M is expressed in terms of the random variable. P Ax x x = =
L's rvs codol rol whr h v M s rssd rs o h rdo vrl. L { M } rrr v such h { M } Assu. { } { A M} { A { } } M < { } { } A u { } { } { A} { A} ( A) ( A) { A} A A { A } hs llows us o cosdr h cs wh M { } [ (
More informationA L A BA M A L A W R E V IE W
A L A BA M A L A W R E V IE W Volume 52 Fall 2000 Number 1 B E F O R E D I S A B I L I T Y C I V I L R I G HT S : C I V I L W A R P E N S I O N S A N D TH E P O L I T I C S O F D I S A B I L I T Y I N
More informationCPSC 211 Data Structures & Implementations (c) Texas A&M University [ 259] B-Trees
CPSC 211 Daa Srucurs & Implmnaions (c) Txas A&M Univrsiy [ 259] B-Trs Th AVL r and rd-black r allowd som variaion in h lnghs of h diffrn roo-o-laf pahs. An alrnaiv ida is o mak sur ha all roo-o-laf pahs
More informationRobustness Experiments with Two Variance Components
Naonal Insue of Sandards and Technology (NIST) Informaon Technology Laboraory (ITL) Sascal Engneerng Dvson (SED) Robusness Expermens wh Two Varance Componens by Ana Ivelsse Avlés avles@ns.gov Conference
More informationSoft k-means Clustering. Comp 135 Machine Learning Computer Science Tufts University. Mixture Models. Mixture of Normals in 1D
Comp 35 Machn Larnng Computr Scnc Tufts Unvrsty Fall 207 Ron Khardon Th EM Algorthm Mxtur Modls Sm-Suprvsd Larnng Soft k-mans Clustrng ck k clustr cntrs : Assocat xampls wth cntrs p,j ~~ smlarty b/w cntr
More informationOne dimensional steady state heat transfer of composite slabs
BUILDING PHYSICS On dmnsonal sady sa a ransfr of compos slas Par 2 Ass. Prof. Dr. Norr Harmay Budaps Unvrsy of Tcnology and Economcs Dparmn of Buldng Enrgcs and Buldng Srvc Engnrng Inroducon - Buldng Pyscs
More informationUNIVERSITAT AUTÒNOMA DE BARCELONA MARCH 2017 EXAMINATION
INTERNATIONAL TRADE T. J. KEHOE UNIVERSITAT AUTÒNOMA DE BARCELONA MARCH 27 EXAMINATION Please answer wo of he hree quesons. You can consul class noes, workng papers, and arcles whle you are workng on he
More informationAR(1) Process. The first-order autoregressive process, AR(1) is. where e t is WN(0, σ 2 )
AR() Procss Th firs-ordr auorgrssiv procss, AR() is whr is WN(0, σ ) Condiional Man and Varianc of AR() Condiional man: Condiional varianc: ) ( ) ( Ω Ω E E ) var( ) ) ( var( ) var( σ Ω Ω Ω Ω E Auocovarianc
More informationV.Abramov - FURTHER ANALYSIS OF CONFIDENCE INTERVALS FOR LARGE CLIENT/SERVER COMPUTER NETWORKS
R&RATA # Vol.) 8, March FURTHER AALYSIS OF COFIDECE ITERVALS FOR LARGE CLIET/SERVER COMPUTER ETWORKS Vyacheslav Abramov School of Mahemacal Scences, Monash Unversy, Buldng 8, Level 4, Clayon Campus, Wellngon
More informationComparison of Differences between Power Means 1
In. Journal of Mah. Analyss, Vol. 7, 203, no., 5-55 Comparson of Dfferences beween Power Means Chang-An Tan, Guanghua Sh and Fe Zuo College of Mahemacs and Informaon Scence Henan Normal Unversy, 453007,
More information"Science Stays True Here" Journal of Mathematics and Statistical Science, Volume 2016, Science Signpost Publishing
"Scnc Says r Hr" Jornal of Mahmacs and Sascal Scnc Volm 6 343-356 Scnc Sgnpos Pblshng Mhod for a Solon o Som Class of Qas-Sac Problms n Lnar Vscolascy hory as Appld o Problms of Lnar orson of a Prsmac
More informationSeries of New Information Divergences, Properties and Corresponding Series of Metric Spaces
Srs of Nw Iforao Dvrgcs, Proprs ad Corrspodg Srs of Mrc Spacs K.C.Ja, Praphull Chhabra Profssor, Dpar of Mahacs, Malavya Naoal Isu of Tchology, Japur (Rajasha), Ida Ph.d Scholar, Dpar of Mahacs, Malavya
More informationAdvanced time-series analysis (University of Lund, Economic History Department)
Advanced me-seres analss (Unvers of Lund, Economc Hsor Dearmen) 3 Jan-3 Februar and 6-3 March Lecure 4 Economerc echnues for saonar seres : Unvarae sochasc models wh Box- Jenns mehodolog, smle forecasng
More information