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

Shaul K. Bar-Lev, Benzion Boukai

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)403-405
Number of pages3
JournalStatistical Papers
Volume50
Issue number2
DOIs
StatePublished - 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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