On the maximal correlation coefficient for the bivariate Marshall Olkin distribution

Fuente: arXiv
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Autori principali: Bücher, Axel, Staud, Torben
Natura: Preprint
Pubblicazione: 2024
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author Bücher, Axel
Staud, Torben
author_facet Bücher, Axel
Staud, Torben
contents We prove a formula for the maximal correlation coefficient of the bivariate Marshall Olkin distribution that was conjectured in Lin, Lai, and Govindaraju (2016, Stat. Methodol., 29:1-9). The formula is applied to obtain a new proof for a variance inequality in extreme value statistics that links the disjoint and the sliding block maxima method.
format Preprint
id arxiv_https___arxiv_org_abs_2409_08661
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On the maximal correlation coefficient for the bivariate Marshall Olkin distribution
Bücher, Axel
Staud, Torben
Statistics Theory
We prove a formula for the maximal correlation coefficient of the bivariate Marshall Olkin distribution that was conjectured in Lin, Lai, and Govindaraju (2016, Stat. Methodol., 29:1-9). The formula is applied to obtain a new proof for a variance inequality in extreme value statistics that links the disjoint and the sliding block maxima method.
title On the maximal correlation coefficient for the bivariate Marshall Olkin distribution
topic Statistics Theory
url https://arxiv.org/abs/2409.08661