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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. DOI: 10.1111/j.1467-9574.1994.tb01431.x



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


Bibtex:
@article{, title={On the asymptotically uniform distribution modulo 1 of extreme order statistics}, author={Wilms, RJG and Brands, JJAM}, journal={Statistica neerlandica}, volume={48}, number={1}, pages={63--70}, year={1994}, publisher={Wiley Online Library}, DOI={10.1111/j.1467-9574.1994.tb01431.x}, }


Reference Type: Journal Article

Subject Area(s): Analysis, Statistics