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

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

Journal of Multivariate Analysis, 1988, vol. 24, issue 1, 155-176

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.

Keywords: Empirical; measures; multivariate; spacings; strong; laws (search for similar items in EconPapers)
Date: 1988
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