On regularly varying moments for power series distributions | Zendy

Slavko Simić | Zendy

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On regularly varying moments for power series distributions

Author(s) -

Slavko Simić

Publication year - 2006

Publication title -

publications de l institut mathematique

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.246

H-Index - 17

eISSN - 1820-7405

pISSN - 0350-1302

DOI - 10.2298/pim0694253s

Subject(s) - series (stratigraphy) , power series , mathematics , function (biology) , order (exchange) , distribution (mathematics) , power (physics) , mathematical analysis , power function , distribution function , method of moments (probability theory) , asymptotic expansion , physics , statistics , geology , thermodynamics , paleontology , finance , evolutionary biology , estimator , economics , biology

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 EwX α (X) ∼ (EwX)α (EwX), α> 0 (w →∞ ), where (·) is an arbitrary slowly varying function.

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