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

Authors :: S. Izadkhah
Mohamed Kayid
Source :: Statistics & Probability Letters. 107:164-169
Publication Year :: 2015
Publisher :: Elsevier BV, 2015.
Abstract: 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.

Subjects :: Statistics and Probability
Convolution random number generator
Exponentially modified Gaussian distribution
Discrete mathematics
Univariate distribution
Random variate
Stochastic simulation
Gamma distribution
Mixture distribution
Statistical physics
Statistics, Probability and Uncertainty
Probability integral transform
Mathematics

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