Journal of Statistical Theory and Applications

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Volume 17, Issue 3, September 2018, Pages 408 - 418

Characterizations of Exponential Distribution Based on Two-Sided Random Shifts

Authors
Santanu Chakraborty, George P. Yanev
School of Mathematical and Statistical Sciences, The University of Texas Rio Grande Valley
Received 25 May 2017, Accepted 28 February 2018, Available Online 30 September 2018.
DOI
10.2991/jsta.2018.17.3.2How to use a DOI?
Keywords
characterization; exponential distribution; order statistics; random shifts
Abstract

A new characterization of the exponential distribution is obtained. It is based on an equation involving randomly shifted (translated) order statistics. No specific distribution is assumed for the shift random variables. The proof uses a recently developed technique including the Maclaurin series expansion of the probability density of the parent variable.

Copyright
© 2018, the Authors. Published by Atlantis Press.
Open Access
This is an open access article under the CC BY-NC license (http://creativecommons.org/licences/by-nc/4.0/).

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<Previous Article In Issue
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Journal
Journal of Statistical Theory and Applications
Volume-Issue
17 - 3
Pages
408 - 418
Publication Date
2018/09/30
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
10.2991/jsta.2018.17.3.2How to use a DOI?
Copyright
© 2018, the Authors. Published by Atlantis Press.
Open Access
This is an open access article under the CC BY-NC license (http://creativecommons.org/licences/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Santanu Chakraborty
AU  - George P. Yanev
PY  - 2018
DA  - 2018/09/30
TI  - Characterizations of Exponential Distribution Based on Two-Sided Random Shifts
JO  - Journal of Statistical Theory and Applications
SP  - 408
EP  - 418
VL  - 17
IS  - 3
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.2018.17.3.2
DO  - 10.2991/jsta.2018.17.3.2
ID  - Chakraborty2018
ER  -