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

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

Author Info

Deheuvels, Paul
Einmahl, John H. J.
Mason, David M.
Ruymgaart, Frits H.

Additional information is available for the following registered author(s):

John Einmahl

Abstract

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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Publisher Info
Article provided by Elsevier in its journal Journal of Multivariate Analysis.

Volume (Year): 24 (1988)
Issue (Month): 1 (January)
Pages: 155-176
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Handle: RePEc:eee:jmvana:v:24:y:1988:i:1:p:155-176

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