A general strong law of large numbers and applications to associated sequences and to extreme value theory

The purpose of this paper is to establish a general strong law of large numbers (SLLN) for arbitrary sequences of random variables (rv's) based on the squared indice method and to provide applications to SLLN of associated sequences. This SLLN is compared to those based on the Hájek-Rényi type...

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Bibliographic Details
Published in:arXiv.org 2015-06
Main Authors: Sangare, Harouna, Gane Samb Lo
Format: Article
Language:English
Subjects:
Extreme value theory
Extreme values
Normal distribution
Random variables
Online Access:Get full text
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Summary:The purpose of this paper is to establish a general strong law of large numbers (SLLN) for arbitrary sequences of random variables (rv's) based on the squared indice method and to provide applications to SLLN of associated sequences. This SLLN is compared to those based on the Hájek-Rényi type inequality. Nontrivial examples are given. An interesting issue that is related to extreme value theory (EVT) is handled here.
ISSN:2331-8422