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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