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On distributions of order statistics and their applications to uniform distribution

โœ Scribed by Hans Volkmer; G. G. Hamedani

Publisher
Springer
Year
2010
Tongue
English
Weight
143 KB
Volume
74
Category
Article
ISSN
0026-1335

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๐Ÿ“œ SIMILAR VOLUMES

On a characterization of the uniform dis
On a characterization of the uniform distribution by generalized order statistics
โœ G. Arslan ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 217 KB

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.

Variability ordering of heavy-tailed dis
Variability ordering of heavy-tailed distributions with applications to order statistics
โœ Christian Kleiber ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 108 KB

Based on a necessary condition for variability ordering of distributions with regularly varying tails it is shown that, for such distributions, order statistics from the same sample are not comparable in the sense of several well-known variability orders. General restrictions in the two-sample case