A characterization of the exponential distribution by means of coincidence of location and truncated densities

Shaul K. Bar-Lev; Benzion Boukai

doi:10.1007/s00362-007-0070-7

A characterization of the exponential distribution by means of coincidence of location and truncated densities

Shaul K. Bar-Lev, Benzion Boukai

Department of Statistics

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

Abstract

In this note we provide a characterization of the exponential distribution by means of the coincidence of location and truncated densities. We provide two proofs. The first is obtained directly via simple calculus while the second hinges on the characterization of the exponential distribution by its constant hazard rate.

Original language	English
Pages (from-to)	403-405
Number of pages	3
Journal	Statistical Papers
Volume	50
Issue number	2
DOIs	https://doi.org/10.1007/s00362-007-0070-7
State	Published - Mar 2009

Keywords

Characterization
Exponential distribution
Hazard rate
Truncated distribution

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty

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10.1007/s00362-007-0070-7

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title = "A characterization of the exponential distribution by means of coincidence of location and truncated densities",

abstract = "In this note we provide a characterization of the exponential distribution by means of the coincidence of location and truncated densities. We provide two proofs. The first is obtained directly via simple calculus while the second hinges on the characterization of the exponential distribution by its constant hazard rate.",

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author = "Bar-Lev, {Shaul K.} and Benzion Boukai",

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AB - In this note we provide a characterization of the exponential distribution by means of the coincidence of location and truncated densities. We provide two proofs. The first is obtained directly via simple calculus while the second hinges on the characterization of the exponential distribution by its constant hazard rate.

KW - Characterization

KW - Exponential distribution

KW - Hazard rate

KW - Truncated distribution

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A characterization of the exponential distribution by means of coincidence of location and truncated densities

Abstract

Keywords

ASJC Scopus subject areas

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