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An Extension of the Class of Regularly Varying Functions

Abstract : We define a new class of positive and Lebesgue measurable functions in terms of their asymptotic behavior, which includes the class of regularly varying functions. We also characterize it by transformations, corresponding to generalized moments when these functions are random variables. We study the properties of this new class and discuss their applications to Extreme Value Theory.
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Submitted on : Monday, December 22, 2014 - 9:51:38 AM
Last modification on : Tuesday, December 14, 2021 - 3:56:44 AM
Long-term archiving on: : Saturday, April 15, 2017 - 11:35:57 AM


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  • HAL Id : hal-01097780, version 1


Meitner Cadena, Marie Kratz. An Extension of the Class of Regularly Varying Functions. 2014. ⟨hal-01097780⟩



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