On the asymptotically uniform distribution modulo 1 of extreme order statistics |
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| Authors: | R J G Wilms J J A M Brands |
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| Institution: | Eindhoven University of Technology Department of Mathematics and Computing Science P.O. Box 513, 5600 ME Eindhoven, The Netherlands |
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| Abstract: | Let (Xm)∞1 be a sequence of independent and identically distributed random variables. We give sufficient conditions for the fractional part of rnax (X1., Xn) to converge in distribution, as n ←∞ to a random variable with a uniform distribution on 0, 1). |
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| Keywords: | distribution (modulo l) Fourier-Stieltjes coefficients fractional part |
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