Einmahl, JohnH.J., Krajina, A. and Cai, J.J. (2025). Empirical likelihood based testing for multivariate regular variation Annals of Statistics, 53(1):352--373.
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Affiliated author
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Publication year2025
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JournalAnnals of Statistics
Multivariate regular variation is a common assumption in the statistics literature and needs to be verified in real-data applications. We develop a novel hypothesis test for multivariate regular variation, employing localized empirical likelihood. We establish the weak convergence of the test statistic to a nonstandard, distribution-free limit and hence can provide universal critical values for the test. We show the very good finite-sample behavior of the procedure through simulations and apply the test to several real-data examples.