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.
Article Information
Identifiers and Pagination:
Year: 2009Volume: 1
First Page: 65
Last Page: 70
Publisher Id: TOSPJ-1-65
DOI: 10.2174/1876527000901010065
Article History:
Received Date: 5/3/2009Revision Received Date: 11/5/2009
Acceptance Date: 29/5/2009
Electronic publication date: 2/9/2009
Collection year: 2009
© 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.
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.
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..