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Characterizations of the exponential distribution by the concept of residual life at random time
Journal article   Peer reviewed

Characterizations of the exponential distribution by the concept of residual life at random time

M. Kayid and S. Izadkhah
Statistics & probability letters, Vol.107, pp.164-169
12/2015
DOI: https://doi.org/10.1016/j.spl.2015.08.022

Abstract

Characterization Completeness Exponential distribution Heterogenous gamma distributions Order statistics
In this paper, the convolution and the order statistics of k independent random lifetimes are considered as random times. Based on the concept of residual life at such random times, new characterizations of the exponential distribution are established.

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