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A characterization of the generalized Laplace distribution by constant regression on the sample mean

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  • Bar-Lev, Shaul K.
  • Bshouty, Daoud

Abstract

This note introduces the generalized Laplace distribution having two scale parameters and one location parameter (for which the ordinary Laplace distribution is a special case). This distribution is then characterized by a constant regression of a certain polynomial statistic on the sample mean in the sense of such characterizations initiated by Laha and Lukacs (1960).

Suggested Citation

  • Bar-Lev, Shaul K. & Bshouty, Daoud, 2016. "A characterization of the generalized Laplace distribution by constant regression on the sample mean," Statistics & Probability Letters, Elsevier, vol. 113(C), pages 79-83.
    • Handle: RePEc:eee:stapro:v:113:y:2016:i:c:p:79-83
    DOI: 10.1016/j.spl.2016.02.017
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    References listed on IDEAS

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    1. Bent Jørgensen & Célestin Kokonendji, 2016. "Discrete dispersion models and their Tweedie asymptotics," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 100(1), pages 43-78, January.
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