Characterizations of Recently Introduced Univariate Continuous Distributions III

Characterizations of Recently Introduced Univariate Continuous Distributions III Synopsis

This monograph is, as far as the author has gathered, the third one of its kind which presents various characterisations 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 characterisations 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.

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