Characterizations Of Recently Introduced Univariate Continuous Distributions
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Characterizations of Recently Introduced Univariate Continuous Distributions III
Author: Gholamhossein G. Hamedani
language: en
Publisher: Nova Science Publishers
Release Date: 2021
"This monograph is, as far as the author has gathered, the third one of its kind which presents various characterizations of many important continuous distributions. It consists of two chapters. The first chapter lists cumulative distributions and probability density functions of six hundred and sixty seven newly proposed univariate continuous distributions. Chapter Two consists of four sections. Section 2.1 provides characterizations of the majority of the distributions mentioned in Chapter One, based on the ratio of two truncated moments. Section 2.2 takes up the characterizations of some of these distributions in terms of their hazard functions. Section 2.3 deals with the characterizations 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 Section 2.4. As pointed out in our previous Monographs (I & II), a good number of proposed distributions in this volume have already been introduced in the literature"--
Characterizations of Recently Introduced Univariate Continuous Distributions
This monograph is, as far as the authors have gathered, the first one of its kind which presents various characterisations 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 characterisations of these distributions based on the ratio of two truncated moments. Chapter Three takes up the characterisations of some of these distributions in terms of their hazard functions. Chapter Four deals with the characterisations of some of these distributions based on their reverse hazard functions. Characterisations 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 characterisations of a large number of distributions (without their proofs) that have already been published by Hamedani and coauthors in Chapter Six.
Characterizations of Univariate Continuous Distributions
Provides in an organized manner characterizations of univariate probability distributions with many new results published in this area since the 1978 work of Golambos & Kotz "Characterizations of Probability Distributions" (Springer), together with applications of the theory in model fitting and predictions.