<abstract xmlns="http://www.w3.org/1999/xhtml"><p> The problem of characterizing a distribution is an important problem which has recently attracted the attention of many researchers. Thus, various characterizations have been established in many different directions. An investigator will be vitally interested to know if their model fits the requirements of a particular distribution. To this end, one will depend on the characterizations of this distribution which provide conditions under which the underlying distribution is indeed that particular distribution. In this work, several characterizations of Randomly Censored Generalized Exponential (RCGE) distribution are presented. These characterizations are based on: ( i) conditional expectation of certain functions of the random variable , (ii ) a single function of the random variable, ( iii) the hazard function of the random variable.</p></abstract>

The problem of characterizing a distribution is an important problem which has recently attracted the attention of many researchers. Thus, various characterizations have been established in many different directions. An investigator will be vitally interested to know if their model fits the requirements of a particular distribution. To this end, one will depend on the characterizations of this distribution which provide conditions under which the underlying distribution is indeed that particular distribution. In this work, several characterizations of Randomly Censored Generalized Exponential (RCGE) distribution are presented. These characterizations are based on: ( i) conditional expectation of certain functions of the random variable , (ii ) a single function of the random variable, ( iii) the hazard function of the random variable.

On Characterizations of Randomly Censored Generalized Exponential Distribution

Department of Mathematics, Statistics and Computer Science Marquette University Milwaukee, Wisconsin 53201-1881

Journal of Applied Mathematics, Statistics and Informatics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"On Characterizations of Randomly Censored Generalized Exponential Distribution"}

The problem of characterizing a distribution is an important problem which has recently attracted the attention of many researchers. Thus, various...

On Characterizations of Randomly Censored Generalized Exponential Distribution

Published Online: Jan 27, 2015

Page range: 85 - 92

Received: Nov 02, 2013

DOI: https://doi.org/10.2478/jamsi-2014-0015

© Faculty of Natural Sciences, University of Saint Cyril and Metodius

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.