Strong limiting bounds for a sequence of moving maxima

Mark. D. Rothmann and Ralph P. Russo

Statistics & Probability Letters, 1991, vol. 11, issue 5, 403-410

Abstract: Suppose Un,n [greater-or-equal, slanted] 1, is a sequence of independent U(0, 1) random variables, and an, n [greater-or-equal, slanted] 1, are integers satisfying 1 [less-than-or-equals, slant] an [less-than-or-equals, slant] n. Let Mn = max{Ui: n - an [mu]n i.o.} = 0 or 1, and whether P{Mn

Keywords: Moving; maxima; strong; limit; theorems; upper; and; lower; class; sequences (search for similar items in EconPapers)
Date: 1991
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Citations: View citations in EconPapers (3)

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