๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On a characterization of the uniform distribution by generalized order statistics

โœ Scribed by G. Arslan

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
217 KB
Volume
235
Category
Article
ISSN
0377-0427

No coin nor oath required. For personal study only.

โœฆ Synopsis

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.

๐Ÿ“œ SIMILAR VOLUMES

On a Characterization of Uniform Distrib
On a Characterization of Uniform Distributions
โœ S. Dasgupta; A. Goswami; B.V. Rao ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 392 KB

Denoting by \(X_{(1,} \leqslant X_{t 2} \leqslant \cdots \leqslant X_{(n)}\) the order statistic based on a random sample \(X_{1}, X_{2}, \ldots, X_{n}\) drawn from a distribution \(F\), it is shown that the property " \(E\left(X_{1} \mid X_{(1)}, X_{(n)}\right)=\frac{1}{2}\left(X_{(1)}+X_{(n)}\righ