Characterizations of Recently Introduced Univariate Continuous Distributions II

G.G. Hamedani
Department of Mathematics, Statistics and Computer Science, Marquette University, WI, USA

Series: Mathematics Research Developments
BISAC: MAT027000



Volume 10

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Volume 2

Volume 3

Special issue: Resilience in breaking the cycle of children’s environmental health disparities
Edited by I Leslie Rubin, Robert J Geller, Abby Mutic, Benjamin A Gitterman, Nathan Mutic, Wayne Garfinkel, Claire D Coles, Kurt Martinuzzi, and Joav Merrick


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This monograph is, as far as the author has gathered, the second of its kind (the first one was published by Nova in 2017 with coauthors Hamedani and Maadooliat) which presents various characterizations of a wide variety of continuous distributions. These two monographs could also be used as sources to prevent reinventing and duplicating the already exiting distributions.

The current book consists of seven chapters. The first chapter lists cumulative and density functions of two hundred and twenty univariate distributions. Chapter two provides characterizations of these distributions: (i) based on the ration of two truncated moments; (ii) in terms of the hazard function; (iii) in terms of the reverse hazard function; (iv) based on the conditional expectation of certain functions of the random variable. Chapter three includes the characterizations of twenty distributions, which appeared in a published paper (Hamedani and Safavimanesh, 2017).

Chapter four presents characterizations of thirty six distributions, contains a published paper (Hamedani, 2017). Chapter five covers the characterizations of forty one distributions, which appeared in a published paper (Hamedani, 2018a). Chapter six presents characterizations of eighty distributions, contained in a published paper (Hamedani, 2018b). Finally, chapter seven consists of seventy proposed distributions. The main reason to include previously published papers in Chapters 3-6 is to provide a rather complete source for the interested researchers who would want to avoid reinventing the existing distributions. (Imprint: Nova)


Chapter 1. Introduction

Chapter 2. Characterizations of Distributions

Chapter 3. Characterizations and Infinite Divisibility of Certain 2016 Univariate Continuous Distributions

Chapter 4. Characterizations and Infinite Divisibility of Certain 2016-2017 Univariate Continuous Distributions II

Chapter 5. Characterizations and Infinite Divisibility of Certain Recently Introduced Distributions III

Chapter 6. Characterizations and Infinite Divisibility of Certain Recently Introduced Distributions IV

Chapter 7. Further Published Distributions


Audience: Graduate Students; Probability and Statistics Instructors at Graduate Level; All academicians who will be employing advanced probability and statistics in their research; The probabilists and/or statisticians who work in the industries; Biostatisticians.

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