Publications de l'Institut Mathématique, Nouvelle Série Vol. 80(94), pp. 253–258 (2006) 

ON REGULARLY VARYING MOMENTS FOR POWER SERIES DISTRIBUTIONSS. SimicMatematicki institut SANU, Kneza Mihaila 35, Beograd, SerbiaAbstract: For the power series distribution, generated by an entire function of finite order, we obtain the asymptotic behavior of its regularly varying moments. Namely, we prove that $E_wX^\alpha\ell(X)\sim(E_wX)^\alpha\ell(E_wX)$, $\alpha>0$ ($w\to\infty$), where $\ell(\cdot)$ is an arbitrary slowly varying function. Keywords: regular variation, moments, power series distributions Classification (MSC2000): 60E05; 30D15 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 10 Oct 2006. This page was last modified: 4 Dec 2006.
© 2006 Mathematical Institute of the Serbian Academy of Science and Arts
