Characterizations of Recently Introduced Univariate Continuous Distributions
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Description
This monograph is, as far as the authors have gathered, the first one of its kind which presents various characterizations of many important and continuous distributions. It consists of six chapters. The first chapter lists cumulative distribution functions, probability density functions, hazard functions and reverse hazard functions of one hundred thirty-six important univariate continuous distributions. Chapter Two provides characterizations of these distributions based on the ratio of two truncated moments. Chapter Three takes up the characterizations of some of these distributions in terms of their hazard functions. Chapter Four deals with the characterizations of some of these distributions based on their reverse hazard functions. Characterizations of some of these distributions based on the conditional expectations of certain functions of the random variable are presented in Chapter Five. Finally, to make this book self-contained, we present the characterizations of a large number of distributions (without their proofs) that have already been published by Hamedani and coauthors in Chapter Six. (Imprint: Nova)
ISBN
978-1-53612-261-9
Publication Date
2017
Publisher
Nova Science Publishers
City
Hauppauge
Disciplines
Mathematics
Comments
Table of Contents:
Chapter 1. Introduction (pp. 1-62)
Chapter 2. Characterizations Based on Two Truncated Moments (pp. 63-126)
Chapter 3. Characterizations Based on Hazard Function (pp. 127-144)
Chapter 4. Characterizations Based on Reverse Hazard Function (pp. 145-152)
Chapter 5. Characterizations Based on Conditional Expectation (pp. 153-168)
Chapter 6. Characterization Results Already Published by Hamedani and Coauthors (pp. 169-318)
References
About the Authors
Index (pp. 343)