The Log-Gamma-Pareto Distribution

Similar documents
11/8/2002 CS 258 HW 2

Reliability Equivalence of Independent Non-identical Parallel and Series Systems.

Fractal diffusion retrospective problems

Existence of Nonoscillatory Solutions for a Class of N-order Neutral Differential Systems

Scripture quotations marked cev are from the Contemporary English Version, Copyright 1991, 1992, 1995 by American Bible Society. Used by permission.

Convolution of Generated Random Variable from. Exponential Distribution with Stabilizer Constant

International Journal of Scientific & Engineering Research, Volume 7, Issue 5, May-2016 ISSN The Maximum Eccentricity Energy of a Graph

Example: Two Stochastic Process u~u[0,1]

Introduction to Finite Element Method

Page 1 of 15. Website: Mobile:

Standard Signs Manual

Standard Signs Manual

Fun and Fascinating Bible Reference for Kids Ages 8 to 12. starts on page 3! starts on page 163!

ELECTROMAGNETISM, NUCLEAR STRUCTURES & GRAVITATION

Multi-layer Thermal Analysis for VLSI Chips: A New Technique and Its Mathematical Foundations

D EFB B E B EAB ABC DEF C A F C D C DEF C AD C AEC D D E C D EF B ABC AB CD A EFD AD D E

c- : r - C ' ',. A a \ V

From our Guest Editor

On Probability Density Function of the Quotient of Generalized Order Statistics from the Weibull Distribution

Handout on. Crystal Symmetries and Energy Bands

Two-Dimensional Quantum Harmonic Oscillator

CONTENTS. Hugo Reitzel, the pickles enthusiast CERTIFICATIONS JARS POUCHES & CANS SALAD DRESSING MINI-TUBES

Parts Manual. EPIC II Critical Care Bed REF 2031

Cataraqui Source Protection Area. Context. Figure 1-1 % % %Ð %Ú. rrca. rvca. mvca. snca. cvca. qca. crca. oca. ltrca. Lake Ontario.

as nonrigid Carnot groups

Chapter 1 Basic Concepts

THIS PAGE DECLASSIFIED IAW EO IRIS u blic Record. Key I fo mation. Ma n: AIR MATERIEL COMM ND. Adm ni trative Mar ings.

Topic 2 [312 marks] The rectangle ABCD is inscribed in a circle. Sides [AD] and [AB] have lengths

Solutions to CRMO-2003

Direct Adaptive Backstepping Control for a Class of MIMO Non-affine Systems Using Recurrent Neural Networks

WEAR A COLLAR RAISE A DOLLAR THIS

Networking Management system Protocol. User s Manual

Anouncements. Conjugate Gradients. Steepest Descent. Outline. Steepest Descent. Steepest Descent

Mark scheme. 65 A1 1.1b. Pure Mathematics Year 1 (AS) Unit Test 5: Vectors. Pearson Progression Step and Progress descriptor. Q Scheme Marks AOs

Preflight Submitted by Bob Niemiec. Frank Arrufat and the real Kathleen Submitted by Hal Marshman, Sr. Meeting Notes Submitted by Ed Potkai

Class IX Chapter 8 Quadrilaterals Maths

Class IX Chapter 8 Quadrilaterals Maths

Order Statistics from Exponentiated Gamma. Distribution and Associated Inference

Grade 9 Circles. Answer the questions. For more such worksheets visit

Get Funky this Christmas Season with the Crew from Chunky Custard

English Made Easy: Foundation Book 1 Notes for parents

The Beta Generalized Marshall-Olkin-G Family of Distributions. (21 August 21, 2016)

A L A BA M A L A W R E V IE W

A Simple Representation of the Weighted Non-Central Chi-Square Distribution

[ ]:543.4(075.8) 35.20: ,..,..,.., : /... ;. 2-. ISBN , - [ ]:543.4(075.8) 35.20:34.

Using Complex Weighted Centroids to Create Homothetic Polygons. Harold Reiter. Department of Mathematics, University of North Carolina Charlotte,

Boyce/DiPrima 9 th ed, Ch 7.6: Complex Eigenvalues

The far field calculation: Approximate and exact solutions. Persa Kyritsi November 10th, 2005 B2-109

RAKE Receiver with Adaptive Interference Cancellers for a DS-CDMA System in Multipath Fading Channels

Material Properties Measurement. Accuracy of Plastic Strain Estimated by Hardness to Assess Remaining Fatigue Lives

POSITIVITY AND REACHABILITY OF FRACTIONAL ELECTRICAL CIRCUITS

Please turn in form and check to the office by Monday, December 11 th. Amazon.com. HomeGoods. American Express. Lowe s. American Girl. Macy s.

2.0 REGIONAL DRILLING ACTIVITY AND PRODUCTION

Creative Communications Sample

Concurrency and Collinearity

Chapter 5 Transmission Lines


Bayesian Credibility for Excess of Loss Reinsurance Rating. By Mark Cockroft 1 Lane Clark & Peacock LLP

The Hilltopper-40 a compact 40M CW transceiver. Offered by the 4-State QRP Group

Solutionbank M1 Edexcel AS and A Level Modular Mathematics

Increasing the Image Quality of Atomic Force Microscope by Using Improved Double Tapered Micro Cantilever

P a g e 5 1 of R e p o r t P B 4 / 0 9

(7) CALAMINTHA NEPETA 'WHITE CLOUD' (15) RUDBECKIA FULGIDA VAR.SULLIVANTII 'GOLDSTURM' (2) SPIRAEA JAPONICA 'ANTHONY WATERER'

Analytical Evaluation of Multicenter Nuclear Attraction Integrals for Slater-Type Orbitals Using Guseinov Rotation-Angular Function

MetroCount Traffic Executive Individual Vehicles

_ J.. C C A 551NED. - n R ' ' t i :. t ; . b c c : : I I .., I AS IEC. r '2 5? 9

Synchronous Machine Modeling

CHAPTER 7 TRIANGLES. 7.1 Introduction. 7.2 Congruence of Triangles

! 94

CCE PR Revised & Un-Revised

Part I- Wave Reflection and Transmission at Normal Incident. Part II- Wave Reflection and Transmission at Oblique Incident

Chapter 3. - parts of a circle.


EXERCISE 10.1 EXERCISE 10.2

Darboux transformation of lax pair for an integrable coupling of the integrable differential-difference equation

A New Dynamic Random Fuzzy DEA Model to Predict Performance of Decision Making Units

Numerical Solution of Transient Thermal Stresses in a Functionally Graded Cylinder

Nonverbal Cues of Dominance Laura van Hooff, Jasmijn Verspaandonk, Nicole van den Reek, Guusje Nagels & Jalou Lemmens

Udaan School Of Mathematics Class X Chapter 10 Circles Maths

Supporting Information. Organocatalytic Synthesis of 4-Aryl-1,2,3,4-tetrahydropyridines from. Morita-Baylis-Hillman Carbonates through a One-Pot

Factorization of weighted EP elements in C -algebras

No-Bend Orthogonal Drawings of Subdivisions of Planar Triconnected Cubic Graphs

GS trapezoids in GS quasigroups

Mathematical Statistics. Chapter VIII Sampling Distributions and the Central Limit Theorem

STRAIGHT LINES EXERCISE - 3

Cylon BACnet Unitary Controller (CBT) Range

Fundamental Solutions for Micropolar Fluids

k of the incident wave) will be greater t is too small to satisfy the required kinematics boundary condition, (19)

GCSE (9-1) Grade 6. Circle Theorems 2

2016 FALL PARKS DIVISION AND WATER UTILITY LANDSCAPING

TRIANGLES CHAPTER 7. (A) Main Concepts and Results. (B) Multiple Choice Questions

Evaluation of Different Software Packages in Flow Modeling under Bridge Structures

1. Experimental Methodology

Eastern Progress - 25 Jan 1923

Server breakdown and repair, Multiple vacation, Closedown, Balking and Stand-by server.

INVERSION IN THE PLANE BERKELEY MATH CIRCLE

CYNOD: A Neutronics Code for Pebble Bed Modular Reactor Coupled Transient Analysis

5w 3. 1MA0 Higher Tier Practice Paper 2H (Set D) Question Working Answer Mark Notes 1 (a) 5w 8 = 3(4w + 2) 5w 8 = 12w = 12w 5w 14 = 7w

`G 12 */" T A5&2/, ]&>b ; A%/=W, 62 S 35&.1?& S + ( A; 2 ]/0 ; 5 ; L) ( >>S.

Hanoi Open Mathematical Competition 2016

Transcription:

aoa Joa of Scc: Bac ad Appd Rach JSBAR SSN 37-453 P & O hp:odphp?oajoaofbacadappd --------------------------------------------------------------------------------------------------------------------------- Th Lo-Gaa-Pao Dbo Sa Ka Aho a Dah Raha Sad b Mahod Ab Aa Fah c* a of Saca Sd & Rach Cao Uv 5 Ahd Zo S Oa Gza ad 63 p b of Saca Sd & Rach Cao Uv 5 Ahd Zo S Oa Gza ad 63 p c of Saca Sd & Rach Cao Uv 5 Ahd Zo S Oa Gza ad 63 p a a: Ahoa@hoaco b a: dah@ahooco c a: ahodaa5@ahooco Abac W d h -aa-pao dbo hch cd a pca ca o od ch a aa-pao ad Pao dbo W doa ha d fco a f a cobao of Pao d So ahaca pop of h dbo a dvd ch a o dbo of h od ac Shao ad R op ad a op chaaczao W a hood ao o a od paa ad a appcao o a a daa a poa W a ado b fo h cdf of h dbo ad oba h a ba a qa o adad o Ko ad S fo ach paa Kod:Lo-aa-ad dbo; Pao dbo; o; od ac; op odco Saca dbo a pa a v poa o h cfc ach c coz h pobab dbo of h ap d do h od a ao ------------------------------------------------------------------------ * Copod aho -a add: ahodaa5@ahooco 357

aoa Joa of Scc: Bac ad Appd Rach JSBAR 4 o 6 No pp 357-374 So f a dbo o a v daa a poo f To da h h pob a aca ap o az h dbo od o podc a b f fo h daa Th aho [] odcd o fa of dbo ad b -aa ado vaab Th o fa of dbo ha h cav dbo fco cdf a G F [ F ] d R > ad G F d R > pcv h h cop aa fco F F h vva fco of ad d h pp cop aa fco Th cdf F dbo Th aho [] av h copod o pobab d fco pdf a fd o a h pa F F f R > ad F F f R > 3 pcv h f h pdf of h pa dbo F Th o of h paa ad o coo a h ad of h dbo ad v h fb fo od fca d o ad daa Th aho [] h hod ha h fa ad 3 a azd fo of dbo of cod va ad h a ao obad b app h v pobab a afoao o h -aa dbo h o ha o o h h fa of dbo dfd b Cod h Pao dbo h cdf h aho [] F > > 4 4 qao d h -aa-pao LGP dbo fco a foo f : 358

aoa Joa of Scc: Bac ad Appd Rach JSBAR 4 o 6 No pp 357-374 G d 5 U h afoao qao 5 dc o G d > 6 h > ad h pp cop aa fco dfd abov 8 Lo-aa-Pao dbo fco G 5 5 G 5 5 G 5 G 5 5 6 4 3 4 5 6 F : Pob hap of LGP dbo fco fo dff va of ad Th d fco copod o 6 v b f > > 7 h h cop aa fco W ova h of h dbo o a F d h Pao dbo ad h aa- Pao dbo odcd b h aho [3] Scod fo oba h dbo of h o cod va fo a qc of dpd ad dca dbd ado vaab fo a popao h h Pao dbo f a ado vaab Y foo h -aa dbo h paa ad h h ado vaab foo h LGP dbo h paa Y 359

aoa Joa of Scc: Bac ad Appd Rach JSBAR 4 o 6 No pp 357-374 ad f a ado vaab Y foo h aa dbo h paa ad h h ado vaab foo h LGP dbo h paa vaab hav d 7 dod b ~ LGP ad A ado Lo-aa-Pao d fco 5 5 5 5 5 3 4 5 6 F : Pob hap of LGP d fco fo dff va of ad Th hf of h LGP dbo v b f 3 h > > Th LGP qa fco ca b obad b v 6 a Q z λ h < λ < ad z [ λ ] Th v cop aa fco aad pd o d ahaca ofa h aho [4] U qao 7 o pca ca ca b obad a foo: Fo h aa-pao GP dbo obad 36

aoa Joa of Scc: Bac ad Appd Rach JSBAR 4 o 6 No pp 357-374 > > hch odcd b h aho [3] 3 Lo-aa-Pao hazad a fco h 5 h 3 h 5 h 5 3 3 4 5 6 F 3: Pob hap of LGP hazad a fco fo dff va of ad Fo h Pao dbo obad > > hch odcd b h aho [] Th ac oazd a foo co p 7 a a f a cobao of Pao d fco co 3 oba h o ad o a fco co 4 povd pc po fo h Shao ad R op Ao popo ab coa fo a op chaaczao of h -aa ad fa qao co 5 dc h dbo of h h od ac ad h o W a h od paa b a hood hod co 6 co 7 povd a appcao o a a daa ad a a ado b fo h LGP dbo o a h f of h od pao fo h LGP D Fco 36

aoa Joa of Scc: Bac ad Appd Rach JSBAR 4 o 6 No pp 357-374 Cod h d fco 7 ad Th qao 7 ca b a: ] [ U h po h oba N h boa ho ad a ad cod h o a po ad o a pov h aho [5] oba b a h b a a b ] [ ad a b W ca b ad h f b h ; f f do h d fco of h Pao dbo h hap paa ad ca paa U h a hodo of h aho [4] df } { 3 Z a a d ad h h fo b Hc ca 36

aoa Joa of Scc: Bac ad Appd Rach JSBAR 4 o 6 No pp 357-374 8 f qao 8 va ha h LGP d a a cobao of Pao d So va of ahaca pop ca b da obad fo ho of h Pao dbo 3 Mo ad Mo Ga Fco L b a ado vaab dbd accod o qao 7 ad Z b a ado vaab h Pao d fco f ~ Pao Z 3 Mo o ha h h o abo zo of Pao dbo Z Th b qao 8 h h o abo zo of h LGP dbo v b Z A a aav hod o caca oda o of h LGP dbo ho qao 8 b qao 7 oba d Ma h bo oba h h o abo zo a foo: 9 d B h pao h aho [6] qao 9 dc o d 363

aoa Joa of Scc: Bac ad Appd Rach JSBAR 4 o 6 No pp 357-374 d paca h f o o abo zo ca b dvd b a ad qao a ad Hc h vaac of LGP dbo ca b a obad 3 Mo Ga Fco o ha h o a fco f of h Pao dbo v b M Z Z Th f of h LGP dbo ca b v b z M A a aav hod o caca h f ho qao 8 cod!! d d M B qao qao oba h o a fco a! M 4 So op Th op p a a of ca of a ado vaab a poa cocp a fd 364

aoa Joa of Scc: Bac ad Appd Rach JSBAR 4 o 6 No pp 357-374 of cc ch a ho of cocao phc ad cooc h aho [7] W povd po fo h Shao op ad R op of h LGP dbo ad p ab coa fo h a op chaaczao of h -aa-ad fa 4 Shao op Th aho [7] odcd h o popa a of op hch cad Shao op Fo a coo dbo G h d h Shao op dfd a H Sh [ ] { [ ]} {[ ]} d Fo h LGP dbo h Shao op v b H Sh [ ] ψ d ψ d h h daa fco 4 R op Aoh popa a of op h R op h aho [8] dfd b R v v [ ] v d hv > ad v Ra qao 7 o h po v ad a pao o ho co oba [ ] v v v v v v b [ v ] v h v ad dfd co a h abov po fo b o ad o a a cobao of Pao o of od v h R op of hch foo h LGP dbo dc o 365

aoa Joa of Scc: Bac ad Appd Rach JSBAR 4 o 6 No pp 357-374 R v v v v v v v v b v v 43 Ma op Chaaczao Th aho [9] hod ha h Shao op a ao b d o df a pobabc od h aho [4] Sppo a ca of pobab d d a of coa F { [ T ] } fo hch a pcao a ad o ad b f O hod choo a b fo F a h d fco fo a ado vaab f az h Shao op Th cho d cad h a op dbo Th aho [3] povdd ab coa fo h aa-ad dbo ch ha h a op dbo q Fo h -aa-ad dbo dfd popo h foo coa: [ F ] ψ ad [ f ] [ f F ] Y Y Gaa ad ψ h ~ do h daa fco ca b ho ha d h abov coa h a op dbo q Th poof of h a v a o Zoafo ad Baaha aa-ad ca ad h od 5 Th Dbo of h h Od Sac povd h aho [6] ha h d fco of h h od ac of h G dbo a f hd of G d fco ad accod o h aho [4] h d fco of h h od ac of h GW dbo a f hd of Wb d W ha pov ha fo a -aa-ad dbo h d h d of h h od ac a ado ap of z ca b pd a a f hd of -aa-ad d dfd Cod d ado vaab dbd accod o Th pdf of h h od ac a : v b!!! : [ G ] G U h boa ho ad qao oba 366

aoa Joa of Scc: Bac ad Appd Rach JSBAR 4 o 6 No pp 357-374 ] [!!! : F Sc ] [ F F γ ad h po fo h aho []! γ ca p h pdf : a 3!!!! : F F Foo h aho [4]! c ad h po ad o a pov a co o ] [ ] [ F d F c h c d ] [ d c c d ad Sb fo qao qao 3 oba 4!!! : d h ad do h -aa-ad fa h o paa ad Th obad fo 4 ha h pdf of h h od ac fo a ado ap of z fo a -aa-ad fa h d ca b pd a a f of -aa-ad d qao 8 ad 4 ca b d o h pdf of h h od ac fo a ap of z of h aa-pao dbo a a a cobao of Pao d a foo: 367

aoa Joa of Scc: Bac ad Appd Rach JSBAR 4 o 6 No pp 357-374!!! : f d h f Pao d h ca paa ad hap paa ad h h fo b Th h o abo zo of h h od ac fo h -aa-pao dbo v b!!! : d 6 Ma-hood ao h co cod h ao of h o paa b hod of a hood Fo a ado ap of z fo h LGP dbo h -hood fco bad o h v ado ap L Th f paa dvav of h -hood fco h pc o h paa ad a pcv L ψ 368

aoa Joa of Scc: Bac ad Appd Rach JSBAR 4 o 6 No pp 357-374 L L ad 5 L qa h of qao 5 h zo oba ψ ad 6 369

aoa Joa of Scc: Bac ad Appd Rach JSBAR 4 o 6 No pp 357-374 Th of qao 6 ca b ovd ca aca paca ad h ML ad ca b obad Ud ab a codo h dbo of h a-hood ao φ of h vco paa φ v b φ φ ~ N 4 φ h φ h Fh foao a v b φ h L ψ L L L [ ]{[ ]} L [ ]{[ ]} L [ ] L [ ] L [ ] { [ [ ] {[ ]} ]} 37

aoa Joa of Scc: Bac ad Appd Rach JSBAR 4 o 6 No pp 357-374 L [ ] { [ ]} [ ] {[ ]} [ [ ] ][ ] ad L [ ] [ ] { [ ]} [ [ ] {[ ]} ][ ] 7 7 Appcao Th LGP dbo copad o h aa dbo h Pao dbo h aa-pao GP dbo odcd b h aho [3] ach dbo a fd o h daa cop fac Mahcad W cacad h ML fo ach od paa ad h adad o Aa foao Co AC Baa foao Co BC ad h ah of h azd hood fo ach f W cacad h Koooov-Sov ac ad p-va o dcd hh h LGP dbo o pca ca povdd a po f Th daa d h appcao fo Cooado Ca C Cooado Sa Uv v h aho [6] Th of h daa a pd ab Fo h ca obv ha h LGP dbo povd a v ood f o h daa food b h aa GP ad Pao dbo Tab a ad av ood-of-f a fo h o a a daa Dbo a LL AC BC K-S p-va Gaa 58 3 - - -56897 4 47 6 95 9 Pao 999 3 5856 - - -677 8 4 9 94 755 GP 347 34 5993 - -5986 4 8 3 LGP 794 55 459 79-565 38 49 4 996 553 483 58 9 37

aoa Joa of Scc: Bac ad Appd Rach JSBAR 4 o 6 No pp 357-374 h h va h pah h adad o of h ML' of h paa Th cod paa dvav 7 a h vaad a h d a of h LGP dbo' paa od o b d fd h foo vaac-covaac a fo h paa ad : 339 947 5758 54776 φ 947 99 538 357 5758 538 9 54 54776 357 54 85388 Ao a ap of z 5 3 fo LGP dbo fo dff va of h paa ad popod ado b ao ad h h a hood a fo ach ap b obad a h h a ba a qa o adad o ad o of ho a fo dff ap z ab h a ba a qa o adad o ad o fo h ML of h paa ad fo ado ap of z 5 3 Th ab ho ha h a qa o ad h ba fo h paa aca paca cad Mahcad ad dca a h ap z ca W d a Tab Ma Ba Ma Sqa o Sadad o S ad Ko fo h a of LGP dbo' paa fo dff va of h paa 3 5 8 5 Ma Ba MS Sadad o S Ko 4889-659 884 89-4995 939 5 46-3796 566 95-394 9335-35 5 3466 996-9 9 9 367 99975 5835-365 37 4-943 -7644 4653-433 69 7 66 845 549-467 7797 43 5-6357 76 37

aoa Joa of Scc: Bac ad Appd Rach JSBAR 4 o 6 No pp 357-374 3 5 8 5 Ma Ba MS Sadad o S Ko 5-97 4 73-3583 956 4533-483 6966 9-3489 99384 586-54 7 5 363 4 - -3353 9875 5 59-96 995 36-6 5544 4847-4337 943 7 3373 98895 574-49 4 639 98 4 - -34 9764 3 8 Coco W odcd ad dd h -aa-pao LGP dbo ad dvopd fo pvo paa poof o a o h -aa-ad fa h dbo of h h od ac ad a op chaaczao Th a pop of h dbo ca b obad b p d fco a a a cobao of Pao d fco v ha h pdf of a b of h -aa-ad fa of dbo ad 3 ca b pd a a a cobao of h pa pdf hch b azd h fa Th a daa ap h LGP dbo a a povd aav o h Pao dbo a a dbo of co ad ab Acod W a af fo h cobo co ad o ad b h aoo f hch povd h pao ad co of h pap W ao ha h do of h oa fo h ad ao Rfc [] M A S M T K Moafaad J Ahad "Lo-aa- ad fa of dbo"a oa of Thoca ad Appd Saco [] U J D ad M J Noohab "ffc ao h Pao dbo"saca Mhodo o 7 373

aoa Joa of Scc: Bac ad Appd Rach JSBAR 4 o 6 No pp 357-374 [3] K Zoafoad N Baaha"O fa of ba ad azd aa-ad dbo ad aocad fc"saca Mhodo o 6 9 [4] L G B Pho G M Codo ad J S Nob"Th aa-poadwb dbo"joa of Saca Tho ad Appcaoo [5] S Gadhad M Rzh Tab of a ad podcacdc P Sa Do [6] M M Rcad N Baaha"Th aa-poad poa dbo"joa of Saca Copao ad Sao o 8 [7] C Shao"A ahaca ho of cocao"th B S Tchca Joao 7 948 [8] A R"O a of op ad foao" : Pocd of h foh B po o ahaca ac ad pobab Uv of Cafoa P B 96 [9] T Ja "foao ho ad aca chac"phca Rv o 6 957 [] S Nadaaah ad M Pa "pc po fo o of aa od ac" B of h Baza Mahaca Soc o 39 8 374