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Title of Thesis

Bivariate and Multivariate Class of Discrete Distributions

Author(s)

KALSOOM AKHTAR CHAUDHRY

Institute/University/Department Details
School of Business Administration / National College of Business Administration & Economics, Lahore
Session
2008
Subject
Applied Statistics
Number of Pages
82
Keywords (Extracted from title, table of contents and abstract of thesis)
Bivariate, Multivariate, Class, Discrete, Distributions, Poisson, Hypergeometric, Recurrence, Relations

Abstract
Not Available

Download Full Thesis
701 KB
S. No. Chapter Title of the Chapters Page Size (KB)
1 0 CONTENTS

 

viii
83 KB
2

1

INTRODUCTION

1.1 Introduction

1.2 System of Distributions

1
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3 2 LITERATURE REVIEW 6
43 KB
4 3 SOME IMPORTANT RESULTS

3.1 Conway-Maxwell Poisson Distribution

3.2 Conway-Maxwell-Hyper-Poisson Distribution (CMHP)
3.3 Katz’s Class of Discrete Distributions
3.4 Extended Katz Family of Discrete Distributions
3.5 Bivariate Poisson Distribution
3.6 Bivariate Hyper-Poisson Distribution
3.7 Multivariate Poisson Distribution

9
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5 4 H-POWER SERIES FUNCTION

4.1 Hypergeometric Series Function

4.2 Hypergeometric Power Series Function and its Properties
4.3 Recurrence Relations

20
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6 5 FAMILY OF UNIVARIATE DISCRETE DISTRIBUTIONS USING HYPERGEOMETRIC POWER SERIES FUNCTIONS

5.1 Probability Generating Function of Family of Univariate Discrete Distributions

5.2 Conway Maxwell Hyper-Poisson (CMHP) Distribution and its Properties
5.3 Characterization of Distributions through Property of Proportions

25
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7 6 BIVARIATE POISSON AND HYPER-POISSON POWER SERIES DISTRIBUTION

6.1 Bivariate Conway-Maxwell Poisson Distribution

6.2 Derivation of Moments
6.3 Recurrence Relation for Bivariate Poisson Power Series Distribution
6.4 Special Case of Generalized Bivariate CMP Distribution and its Properties
6.5 Bivariate Hyper-Poisson Power Series Distribution in terms of F-Series and H-Power Series

36
280 KB
8 7 MULTIVARIATE HYPER-POISSON DISTRIBUTION

7.1 Multivariate Poisson Distribution

7.2 Multivariate Hyper-Poisson Distribution
7.3 Properties of Multivariate Hyper-Poisson Distribution
7.4 Bivariate Poisson Distribution in terms of F-Series Function

55
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9 8 REFERENCES


 

63
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