Journal of Applied Mathematics and Stochastic Analysis
Volume 6 (1993), Issue 4, Pages 345-357
doi:10.1155/S1048953393000292
Abstract
A characterization of exponential, geometric and of distributions
with almost-lack-of-memory property, based on the revelation transform
of probability distributions and relevation of random variables is
discussed. Known characterizations of the exponential distribution on
the base of relevation transforms given by Grosswald et al. [4], and Lau
and Rao [7] are obtained under weakened conditions and the proofs are
simplified. A characterization the class of almost-lack-of-memory
distributions through the relevation is specified.