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Title of Thesis

On A Class Of Distributions Closed Under Inversion

Author(s)

Saleha Naghmi Habibullah

Institute/University/Department Details
Department of Applied Statistics / National College of Business Administration & Economics, Lahore
Session
2009
Subject
Applied Statistics
Number of Pages
88
Keywords (Extracted from title, table of contents and abstract of thesis)
Distributions, Inversion, Closed, Preliminary, Class , Inverse, Inverted,

Abstract
Not Available

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

 

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2

1

INTRODUCTION

1.1 Preliminary Remarks
1.2 Inverted and Inverse Distributions
1.3 The Class of Inverted Distributions
1.4 Closure and Strict Closure Under Inversion
1.5 Research Objectives

1
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3 2 LITERATURE REVIEW

2.1 Introduction
2.2 Inverted Distributions
2.3 Inverse Moments
2.4 Closure and Strict Closure Under Inversion
2.5 Differential Equations for Generating Systems of Distributions

4
56 KB
4 3 PROBABILITY FUNCTIONS CLOSED UNDER INVERSION

3.1 Introduction
3.2 Main Results by Gumbel and Keeney (1950)
3.3 Main Results by Seshadri (1965)
3.4 Main Results by Saunders (1974)

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5 4 DIFFERENTIAL EQUATIONS FOR GENERATING SCUI DISTRIBUTIONS

4.1 Introduction
4.2 A Differential Equation for Generating SCUI Distributions
4.3 Examples
4.4 An Additional Differential Equation for Generating SCUI Distributions
4.5 Examples

20
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6 5 CHARACTERIZATIONS OF SOME SCUI DENSITY FUNCTIONS

5.1 Introduction
5.2 Characterization of the Log Pearson Type VII Distribution
5.3 Characterization of Seshadri (1965)’s Distribution (n) with r = 0

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7 6 A NEWSCUI DENSITY

6.1 Introduction
6.2 Differential Equation for the Case a < x <1/ a,0 < a <1
6.3 An SCUI Density Defined on (a,1/ a), 0 < a <1

32
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8 7 SOME PROPERTIES OF THE CLASS OF SCUI DISTRIBUTIONS

7.1 Introduction
7.2 Properties Pertaining to Mathematical Expectation
7.3 Properties Pertaining to Truncation
7.4 Properties Pertaining to Order Statistics
7.5 Linear Combinations of SCUI Density Functions
7.6 Products of Random Variables with SCUI Density Functions
7.7 Likelihood Function of A Random Sample from an SCUI Density Function
7.8 Functional Form of An SCUI Density Function

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9 8 CUI DISTRIBUTIONS AND THEIR PROPERTIES

8.1 Introduction
8.2 Ratio of Analogous Distributions Method for Generating CUI Distributions
8.3 Properties of Two–Parameter CUI Distributions

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10 9 REFERENCES

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