Authors: | Simić, Slavko | Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | Extreme values and entire functions of finite order | Journal: | Statistics and Probability Letters | Volume: | 76 | Issue: | 7 | First page: | 703 | Last page: | 708 | Issue Date: | 1-Apr-2006 | Rank: | M23 | ISSN: | 0167-7152 | DOI: | 10.1016/j.spl.2005.10.008 | Abstract: | For an arbitrary entire function g of finite order and with non-negative Taylor coefficients, we shall prove that its restriction to the positive part of real axis belongs to de Haan's class Γ. It follows that the laws F1(x) = 1 - 1/g(x) and F2(x) = ∫-∞xdt/g( t )/C are in the domain of attraction of the double exponential law with explicitly given norming constants. |
Keywords: | Double exponential law | Entire functions of finite order | The class Γ | Publisher: | Elsevier |
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