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Extreme values and entire functions of finite order

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  • Simic, Slavko

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 [Gamma]. It follows that the laws F1(x)=1-1/g(x) and are in the domain of attraction of the double exponential law with explicitly given norming constants.

Suggested Citation

  • Simic, Slavko, 2006. "Extreme values and entire functions of finite order," Statistics & Probability Letters, Elsevier, vol. 76(7), pages 703-708, April.
    • Handle: RePEc:eee:stapro:v:76:y:2006:i:7:p:703-708
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