Location- and scale-free procedures for distinguishing between distribution tail models

Fuente: arXiv
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Autore principale: Rodionov, Igor
Natura: Preprint
Pubblicazione: 2023
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author Rodionov, Igor
author_facet Rodionov, Igor
contents We consider distinguishing between two distribution tail models when tails of one model are lighter (or heavier) than those of the other. Two procedures are proposed: one scale-free and one location- and scale-free, and their asymptotic properties are established. We show the advantage of using these procedures for distinguishing between certain tail models in comparison with the tests proposed in the literature by simulation and apply them to data on daily precipitation in Green Bay, US and Saentis, Switzerland.
format Preprint
id arxiv_https___arxiv_org_abs_2301_03894
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Location- and scale-free procedures for distinguishing between distribution tail models
Rodionov, Igor
Statistics Theory
Methodology
62G32
We consider distinguishing between two distribution tail models when tails of one model are lighter (or heavier) than those of the other. Two procedures are proposed: one scale-free and one location- and scale-free, and their asymptotic properties are established. We show the advantage of using these procedures for distinguishing between certain tail models in comparison with the tests proposed in the literature by simulation and apply them to data on daily precipitation in Green Bay, US and Saentis, Switzerland.
title Location- and scale-free procedures for distinguishing between distribution tail models
topic Statistics Theory
Methodology
62G32
url https://arxiv.org/abs/2301.03894