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Characterization of uniform, exponential, and some other distributions

โœ Scribed by M. V. Neupokoeva

Publisher
Springer US
Year
1994
Tongue
English
Weight
260 KB
Volume
69
Category
Article
ISSN
1573-8795

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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