| Authors: | Simić, Slavko | Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | On asymptotic behavior of regularly varying moments for discrete laws | Journal: | Communications in Statistics - Theory and Methods | Volume: | 38 | Issue: | 1 | First page: | 130 | Last page: | 137 | Issue Date: | 1-Jan-2009 | Rank: | M23 | ISSN: | 0361-0926 | DOI: | 10.1080/03610920802171590 | Abstract: | For a discrete law F and large n, we investigate the asymptotic relation [image omitted] where ℓ(·) is an arbitrary slowly varying function. Then we prove that regularly varying moments for Power Series Distributions, generated by an entire function of finite order, satisfy the above relation with Cμ = 1 for each μ ∈ (0, ∞). |
Keywords: | Entire functions of finite order | Power series distributions | Regular variation | Publisher: | Taylor & Francis |
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