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The theorem of coles on uniform distribution

โœ Scribed by Peter Ungar

Publisher
John Wiley and Sons
Year
1967
Tongue
English
Weight
291 KB
Volume
20
Category
Article
ISSN
0010-3640

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๐Ÿ“œ SIMILAR VOLUMES

On a Characterization of Uniform Distrib
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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

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โœ Mohamed M. Shoukri ๐Ÿ“‚ Article ๐Ÿ“… 1982 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 161 KB ๐Ÿ‘ 2 views

## Abstract In this article we give a simple procedure to determine the exact distribution of the likelihood ratio test of a statistical hypothesis regarding the parameter of the uniform distribution. The resulting distribution will be shown to serve as an approximation to the distribution of the l