On Discrimination between Classes of Distribution Tails


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Abstract

We propose a test to distinguish between two classes of distribution tails using only higher order statistics of a sample and prove its consistency. We do not assume the corresponding distribution functions to belong to any maximum domain of attraction.

About the authors

I. V. Rodionov

Faculty of Mechanics and Mathematics; Department of Innovation and High Technology

Author for correspondence.
Email: vecsell@gmail.com
Russian Federation, Moscow; Moscow

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