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

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ON REGULARLY VARYING MOMENTS FOR POWER SERIES DISTRIBUTIONS

S. Simic

Matematicki institut SANU, Kneza Mihaila 35, Beograd, Serbia

Abstract: 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

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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
© 2006 ELibM and FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition