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Limiting distributions of homogeneous functions of sample spacings for distributions approaching the uniform distribution

โœ Scribed by Lionel Weiss


Publisher
Springer
Year
1968
Tongue
English
Weight
184 KB
Volume
10
Category
Article
ISSN
1432-2064

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Characterizations of the uniform distrib
โœ Anand Paul ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 71 KB

We prove that an absolutely continuous probability distribution with compact support is uniformly distributed if and only if the mean sample spacings resulting from a random sample of size N are all equal for every integer N. We also present a related characterization of uniformity using nonlinear t