The almost sure behavior of maximal and minimal multivariate kn-spacings

Strong limit theorems are obtained for maximal and minimal multivariate kn-spacings, where {kn}n=1[infinity] is a sequence of positive integers satisfying kn = 0(log n). The shapes, in terms of which these spacings are defined, are allowed to be quite general. They must only satisfy certain "entropy" conditions. The main tool for proving our results is a simple relation between these spacings and empirical measures. A number of examples are also included.

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Year of publication:	1988
Authors:	Deheuvels, Paul ; Einmahl, John H. J. ; Mason, David M. ; Ruymgaart, Frits H.
Published in:	Journal of Multivariate Analysis. - Elsevier, ISSN 0047-259X. - Vol. 24.1988, 1, p. 155-176
Publisher:	Elsevier
Keywords:	Empirical measures multivariate spacings strong laws

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

Persistent link: https://www.econbiz.de/10005199355