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

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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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References

  • Galambos J, Kotz S (1978) Characterizations of probability distributions: a unified approach with an emphasis on exponential and related models. Springer, Berlin

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  • Johnson NL, Kotz S, Balakrishnan N (1994) Continuous univariate distributions, 2nd edn, vol 1. Wiley, New York

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Authors and Affiliations

  1. Department of Statistics, University of Haifa, Haifa, 31905, Israel

    Shaul K. Bar-Lev

  2. Department of Mathematical Sciences, IUPUI, Indianapolis, IN, 46202, USA

    Benzion Boukai

Authors
  1. Shaul K. Bar-Lev
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  2. Benzion Boukai
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Correspondence to Shaul K. Bar-Lev.

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Bar-Lev, S.K., Boukai, B. A characterization of the exponential distribution by means of coincidence of location and truncated densities. Stat Papers 50, 403–405 (2009). https://doi.org/10.1007/s00362-007-0070-7

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  • DOI: https://doi.org/10.1007/s00362-007-0070-7

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