On revelation transforms that characterize probability distributions. (1993)

• Record Type: Journal Article
• Authors: Chukova, S.; Dimitrov, B.; Dion, J.-P.
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 6:Number 4(1993)
• Page Start: 345
• Page End: 357
• Publication Date: 1993
• Subjects: relevation -- characterization -- convolution -- geometric distribution -- exponential distribution -- almost-lack-of-memory distributions -- failure rate function; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953393000292
• Languages: English
• ISSNs: 1048-9533

Abstract

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.