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Limit points of sequences of moving maxima

✍ Scribed by H.V. Hebbar; N. Vadiraja

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
221 KB
Volume
34
Category
Article
ISSN
0167-7152

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✦ Synopsis

Let {X., n >~ 1 } be a sequence of independent random variables (r.v.'s) with the common distribution function (d.f.) F. Define the moving maxima

where k(n) is a sequence of positive integers. Under certain conditions on F and k(n), the set of all almost sure limit points of sequences of properly normalised Yk~,l is obtained.

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Let {Xn; nΒΏ1} be a sequence of independent random variables (r.v.'s) with a common distribution function (d.f.) F. ## DeΓΏne the moving maxima Under certain conditions on F and k(n), the set of almost sure limit points of the vector consisting of properly normalised Y 1 k(n) and Y 2 k(n) is obtain