Geodesic
On Regularly Varying Moments for Power Series Distributions
Publications de l'Institut Mathématique, _N_S_80 (2006) no. 94, p. 253 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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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 
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     author = {S. Simi\'c},
     title = {On {Regularly} {Varying} {Moments} for {Power} {Series} {Distributions}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {253 },
     year = {2006},
     volume = {_N_S_80},
     number = {94},
     doi = {10.2298/PIM0694253S},
     zbl = {1164.60317},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM0694253S/}
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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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