The limit behavior of maxima modulo one and the number of maxima

Asymptotic uniformity of fractional parts of maxima, and the limit behavior of the number of maxima in a discrete sample has been recently studied in the literature. We consider the relationship between these two subjects. Furthermore, we study the convergence in distribution of fractional parts of maxima more generally.

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Year of publication:	1997
Authors:	Qi, Y. ; Wilms, R. J. G.
Published in:	Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 34.1997, 1, p. 75-84
Publisher:	Elsevier
Keywords:	Distribution modulo 1 Fractional parts Number of maxima Extreme order statistics

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005254291