Limit points of sequences of moving maxima

Hebbar, H. V. and Vadiraja, N. (1997) Limit points of sequences of moving maxima. Statistics & Probability Letters, 34 (1). pp. 13-18.

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Official URL: https://doi.org/10.1016/S0167-7152(96)00160-5

Abstract

Let {X-n, n greater than or equal to 1} be a sequence of independent random variables (r.v.'s) with the common distribution function (d.f.) F. Define the moving maxima Y-k(n) = max(Xn - k(n + 1), Xn - k(n + 2),..., X-n) 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 Y-k(n) is obtained.

Item Type: Article
Subjects: E Mathematical Science > Statistics
Divisions: Department of > Statistics
Depositing User: Users 23 not found.
Date Deposited: 01 Jun 2021 07:54
Last Modified: 04 Jul 2023 07:16
URI: http://eprints.uni-mysore.ac.in/id/eprint/16620

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