A New Characterization of the Power Distribution
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Date
2014
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier Science Bv
Open Access Color
HYBRID
Green Open Access
No
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Abstract
A new characterization for the power function distribution is obtained which is based on products of order statistics. This result may be considered as a generalization of some recent results for contractions. The result is obtained by applying a new variant of the Choquet-Deny theorem. We note that in this new result the product consists of order statistics from independent samples. This characterization result may also be interpreted in terms of some special scheme of ranked set sampling. (C) 2013 Elsevier B.V. All rights reserved.
Description
ORCID
Keywords
Characterization, Power distribution, Order statistics, Choquet-Deny theorem, Ranked set sample, Order-Statistics, ranked set sample, Choquet-Deny theorem, order statistics, Characterization and structure theory of statistical distributions, power distribution, characterization
Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
4
Source
Journal of Computatıonal And Applıed Mathematıcs
Volume
260
Issue
Start Page
99
End Page
102
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Citations
CrossRef : 1
Scopus : 5
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Mendeley Readers : 2
SCOPUS™ Citations
5
checked on Feb 13, 2026
Web of Science™ Citations
3
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1
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