U-Statistic for Multivariate Stable Distributions

A U-statistic for the tail index of a multivariate stable random vector is given as an extension of the univariate case introduced by Fan (2006). Asymptotic normality and consistency of the proposed U-statistic for the tail index are proved theoretically. The proposed estimator is used to estimate t...

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Bibliographic Details
Main Authors: Mahdi Teimouri, Saeid Rezakhah, Adel Mohammadpour
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Journal of Probability and Statistics
Online Access:http://dx.doi.org/10.1155/2017/3483827
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