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On a characterization of rectangular distributions

โœ Scribed by Sami N Abdelhamid


Book ID
103592019
Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
136 KB
Volume
3
Category
Article
ISSN
0167-7152

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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