On a characterization of the uniform distribution by generalized order statistics

In this paper a new variant of the Choquet–Deny theorem is obtained and used to prove a characterization of the uniform distribution based on spacings of generalized order statistics. This result extends two recent characterizations of the uniform distribution.

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Bibliographic Details
Published in:Journal of computational and applied mathematics 2011-06, Vol.235 (16), p.4532-4536
Main Author: Arslan, G.
Format: Article
Language:English
Subjects:
Characterization
Computation
Exact sciences and technology
Generalized order statistics
Mathematical analysis
Mathematical models
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Sciences and techniques of general use
Statistics
Theorems
Uniform distribution
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Description
Summary:In this paper a new variant of the Choquet–Deny theorem is obtained and used to prove a characterization of the uniform distribution based on spacings of generalized order statistics. This result extends two recent characterizations of the uniform distribution.
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2010.02.040