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 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.