RESEARCH ARTICLE


A Bivariate Law of Iterated Logarithm for Partial Sums and Delayed Sums



R. Vasudeva*, Gooty Divanji*
Department of Studies in Statistics, Manasagangothri, University of Mysore, Mysore - 570 006 - Karnataka - India.


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© 2009 Vasudeva et al.;

open-access license: This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International Public License (CC-BY 4.0), a copy of which is available at: https://creativecommons.org/licenses/by/4.0/legalcode. This license permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

* Address correspondence to this author at the Department of Studies in Statistics, Manasagangothri, University of Mysore, Mysore - 570 006 - Karnataka - India. Tel: 091-821-2419853; Fax: 0091 – 821 - 2419301; E-mails: vasudeva.rasbagh@gmail.com and gootydivan@yahoo.co.in


Abstract

When the random variables are positive strictly stable, we obtain a bivariate law of iterated logarithm for the vector of partial sums and delayed sums.

Keywords: Law of iterated logarithm, bivariate summands, stable laws..