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

Shaul K. Bar-Lev; Daoud Bshouty

doi:10.1016/j.spl.2016.02.017

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

Shaul K. Bar-Lev, Daoud Bshouty

Department of Statistics

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

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).

Original language	English
Pages (from-to)	79-83
Number of pages	5
Journal	Statistics and Probability Letters
Volume	113
DOIs	https://doi.org/10.1016/j.spl.2016.02.017
State	Published - 1 Jun 2016

Bibliographical note

Publisher Copyright:
© 2016 Elsevier B.V.

Keywords

Characterization
Constant regression on the sample mean
Generalized Laplace distribution

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty

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10.1016/j.spl.2016.02.017

Cite this

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title = "A characterization of the generalized Laplace distribution by constant regression on the sample mean",

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).",

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N2 - 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).

AB - 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).

KW - Characterization

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KW - Generalized Laplace distribution

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DO - 10.1016/j.spl.2016.02.017

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SN - 0167-7152

VL - 113

SP - 79

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JO - Statistics and Probability Letters

JF - Statistics and Probability Letters

ER -

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

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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