A Log Log Law for Subsequences of Delayed Random Sums

Divanji, Gooty and Raviprakash, K. N. (2017) A Log Log Law for Subsequences of Delayed Random Sums. Journal of the Indian Society for Probability and Statistics, 18 (2). pp. 159-175. ISSN 2364-9569

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Official URL: https://doi.org/10.1007/s41096-017-0022-z

Abstract

Let $$\backslash{X_n,n\backslashge 1\backslash}$${Xn,n≥1}be a sequence of independent and identically distributed random variables with a common distribution function F is in the domain of partial attraction of a semistable law with index $$\backslashalpha $$α, $$0< \backslashalpha < 2$$0<α<2. We introduce new concept delayed random sums and study a non-trivial limit behavior of properly normalized subsequences of delayed random sums and extended to some boundary crossing problem.

Item Type: Article
Subjects: ?? HA ??
Divisions: ?? fac_SAT ??
Depositing User: C Swapna Library Assistant
Date Deposited: 27 May 2019 06:53
Last Modified: 27 May 2019 06:53
URI: http://eprints.uni-mysore.ac.in/id/eprint/566

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