RESEARCH ARTICLE
On Moments of the Power Series Distributions
Slavko Simic*
Mathematical Institute SANU, Kneza Mihaila 36, 11000 Belgrade, Serbia.
Article Information
Identifiers and Pagination:
Year: 2009Volume: 1
First Page: 3
Last Page: 6
Publisher Id: TOSPJ-1-3
DOI: 10.2174/1876527000901010003
Article History:
Received Date: 8/10/2008Revision Received Date: 23/10/2008
Acceptance Date: 10/11/2008
Electronic publication date: 15/1/2009
Collection year: 2009
© 2009 Simic 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
For the Power Series Distributions generated by an arbitrary entire function of finite order, applying methods of Karamata’s Theory of Regular Variation, we obtain asymptotic behavior of its moments. As an illustration, we calculate the moments of distributions generated by the class of Mittag-Leffler functions of which the well-known Poisson Law is just a special case.
Keywords: Distribution moments, entire functions of finite order, regular variation, karamata..
