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

Access to Document

10.1016/j.spl.2016.02.017

Cite this

@article{c7e3e69bcb46499bbba268cf6c11cf91,

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).",

keywords = "Characterization, Constant regression on the sample mean, Generalized Laplace distribution",

author = "Bar-Lev, \{Shaul K.\} and Daoud Bshouty",

note = "Publisher Copyright: {\textcopyright} 2016 Elsevier B.V.",

year = "2016",

month = jun,

day = "1",

doi = "10.1016/j.spl.2016.02.017",

language = "English",

volume = "113",

pages = "79--83",

journal = "Statistics and Probability Letters",

issn = "0167-7152",

publisher = "Elsevier",

}

TY - JOUR

T1 - A characterization of the generalized Laplace distribution by constant regression on the sample mean

AU - Bar-Lev, Shaul K.

AU - Bshouty, Daoud

PY - 2016/6/1

Y1 - 2016/6/1

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

KW - Constant regression on the sample mean

KW - Generalized Laplace distribution

UR - https://www.scopus.com/pages/publications/84962564837

U2 - 10.1016/j.spl.2016.02.017

DO - 10.1016/j.spl.2016.02.017

M3 - Article

AN - SCOPUS:84962564837

SN - 0167-7152

VL - 113

SP - 79

EP - 83

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

Other files and links

Fingerprint

Cite this