| Authors: | Simić, Slavko | Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | On regularly varying moments for discrete laws | Journal: | Studia Scientiarum Mathematicarum Hungarica | Volume: | 47 | Issue: | 1 | First page: | 118 | Last page: | 126 | Issue Date: | 1-Mar-2010 | Rank: | M23 | ISSN: | 0081-6906 | DOI: | 10.1556/SScMath.2009.1118 | Abstract: | For a discrete law F and large n , we investigate the asymptotic relation EXnμ ℓ (Xn) ∼ Cμ (EXn)με (a,b),Cμ > 0(EXn → ∞ ), where ̧(•) is an arbitrary slowly varying function. By a result from [6], it follows that regularly varying moments for Power Series Distributions, generated by an entire function of finite order, satisfy the above relation with C μ = 1 for each μ ε (0, ∞). |
Keywords: | Entire functions of finite order | Power series distributions | Regular variation | Publisher: | AKJournals |
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