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On Terrel's characterization of uniform distribution

✍ Scribed by F. López-Blázquez; B. Salamanca Miño

Publisher
Springer-Verlag
Year
1999
Tongue
English
Weight
347 KB
Volume
40
Category
Article
ISSN
0932-5026

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📜 SIMILAR VOLUMES

On a Characterization of Uniform Distrib
On a Characterization of Uniform Distributions
✍ S. Dasgupta; A. Goswami; B.V. Rao 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 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

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✍ G. Arslan 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 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.