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Uniform Distributions on the Natural Numbers

โœ Scribed by Oliver Schirokauer; Joseph B. Kadane

Publisher
Springer US
Year
2007
Tongue
English
Weight
332 KB
Volume
20
Category
Article
ISSN
0894-9840

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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

Some characterizations of the uniform di
Some characterizations of the uniform distribution with applications to random number generation
โœ Lih-Yuan Deng; E. Olusegun George ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› Springer Japan ๐ŸŒ English โš– 292 KB

Let U and V be independent random variables with continuous density function on the interval (0, 1). We describe families of functions g for which uniformity of U and V is equivalent to uniformity of g(U, V) on (0, 1). These results axe used to prescribe methods for improving the quality of pseudo-r