A Family of Quantile Dependence Coefficients

Fuente: arXiv
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Auteurs principaux: Dastbaravarde, A., Dolati, A.
Format: Preprint
Publié: 2024
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_version_ 1866910322828247040
author Dastbaravarde, A.
Dolati, A.
author_facet Dastbaravarde, A.
Dolati, A.
contents A popular measure of association is the tail dependence coefficient which measures the strength of dependence in either the lower-left or upper-right tail of a bivariate distribution. In this paper, we develop the idea of quantile dependence, which generalizes the notion of tail dependence and could be used to detect dependence in specific regions of the domain of a joint distribution function. Properties of the proposed quantile dependence coefficient are studied and several examples illustrate our results.
format Preprint
id arxiv_https___arxiv_org_abs_2402_05665
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A Family of Quantile Dependence Coefficients
Dastbaravarde, A.
Dolati, A.
Statistics Theory
62H05, 62H20
A popular measure of association is the tail dependence coefficient which measures the strength of dependence in either the lower-left or upper-right tail of a bivariate distribution. In this paper, we develop the idea of quantile dependence, which generalizes the notion of tail dependence and could be used to detect dependence in specific regions of the domain of a joint distribution function. Properties of the proposed quantile dependence coefficient are studied and several examples illustrate our results.
title A Family of Quantile Dependence Coefficients
topic Statistics Theory
62H05, 62H20
url https://arxiv.org/abs/2402.05665