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Journal Article

Testing axial symmetry by means of directional regression quantiles

Hudecová Š., Šiman Miroslav

: Electronic Journal of Statistics vol.15, 1 (2021), p. 2690-2715

: GA17-07384S, GA ČR, GA21-05325S, GA ČR

: axial symmetry, exchangeability, permutation symmetry, symmetry around a line, directional quantile, quantile regression

: 10.1214/21-EJS1850

: http://library.utia.cas.cz/separaty/2021/SI/siman-0542338.pdf

: https://projecteuclid.org/journals/electronic-journal-of-statistics/volume-15/issue-1/Testing-axial-symmetry-by-means-of-directional-regression-quantiles/10.1214/21-EJS1850.full

(eng): The article describes how directional quantiles can be useful for testing the null hypothesis that a multivariate distribution is symmetric around a line in a given direction. It also generalizes the proposed tests to residual distributions in a linear regression setup, discusses their use for statistical inference regarding equality of distributions, equality of scale, or exchangeability, and illustrates the achievements with carefully designed pictures and examples.

: BB

: 10103