On Revelation Transforms that Characterize Probability Distributions

Stefanka Chukova; Boyan N. Dimitrov; Jean Pierre Dion

doi:10.1155/S1048953393000292

On Revelation Transforms that Characterize Probability Distributions

Stefanka Chukova, Boyan N. Dimitrov, Jean Pierre Dion

Kettering University

Research output: Contribution to journal › Article › peer-review

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.

Original language	American English
Journal	Journal of Applied Mathematics and Stochastic Analysis
Volume	6
DOIs	https://doi.org/10.1155/S1048953393000292
State	Published - Oct 1 1993

Keywords

relevation
characterization
convolution
geometric distribution
exponential distribution
almost-lack-of-memory distributions
failure rate function

Disciplines

Mathematics

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10.1155/S1048953393000292License: CC BY

On Revelation Transforms that Characterize Probability DistributiFinal published version, 2.92 MBLicense: CC BY

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title = "On Revelation Transforms that Characterize Probability Distributions",

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.",

keywords = "relevation, characterization, convolution, geometric distribution, exponential distribution, almost-lack-of-memory distributions, failure rate function",

author = "Stefanka Chukova and Dimitrov, {Boyan N.} and Dion, {Jean Pierre}",

year = "1993",

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language = "American English",

volume = "6",

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T1 - On Revelation Transforms that Characterize Probability Distributions

AU - Chukova, Stefanka

AU - Dimitrov, Boyan N.

AU - Dion, Jean Pierre

PY - 1993/10/1

Y1 - 1993/10/1

N2 - 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.

AB - 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.

KW - relevation

KW - characterization

KW - convolution

KW - geometric distribution

KW - exponential distribution

KW - almost-lack-of-memory distributions

KW - failure rate function

UR - https://digitalcommons.kettering.edu/mathematics_facultypubs/54

U2 - 10.1155/S1048953393000292

DO - 10.1155/S1048953393000292

M3 - Article

VL - 6

JO - Journal of Applied Mathematics and Stochastic Analysis

JF - Journal of Applied Mathematics and Stochastic Analysis

ER -

On Revelation Transforms that Characterize Probability Distributions

Abstract

Keywords

Disciplines

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