Wilms, RJG and Brands, JJAM (1994)

On the asymptotically uniform distribution modulo 1 of extreme order statistics

Statistica Neerlandica 48(1), 63-70

ISSN / ISBN: Not available at this time

ABSTRACT: Let (X_m)₁^∞ be a sequence of independent and identically distributed random variables. We give sufficient conditions for the fractional part of max (X₁, ..., X_m) to converge in distribution, as n→∞, to a random variable with a uniform distribution on [0, 1)

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• Zentralblatt: Zbl 0826.62013
• MathSciNet: MR1267056 (95a:60031)
• For online information, click here.

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Bibtex not available at this time.

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Reference Type: Journal Article

Subject Area(s): Analysis, Statistics