Geodesic
On Regularly Varying Moments for Power Series Distributions
Publications de l'Institut Mathématique, _N_S_80 (2006) no. 94, p. 253

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI Zbl

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.
DOI : 10.2298/PIM0694253S
Classification : 60E05 30D15
Keywords: regular variation, moments, power series distributions 
S. Simić. On Regularly Varying Moments for Power Series Distributions. Publications de l'Institut Mathématique, _N_S_80 (2006) no. 94, p. 253 . doi: 10.2298/PIM0694253S
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     journal = {Publications de l'Institut Math\'ematique},
     pages = {253 },
     year = {2006},
     volume = {_N_S_80},
     number = {94},
     doi = {10.2298/PIM0694253S},
     zbl = {1164.60317},
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     url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM0694253S/}
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