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Abstract

Nonparametric tests of symmetry for non-elliptical distributions

Kalina Jan, Šiman Miroslav

: ICORS 2018. Book of Abstracts, p. 122-122

: ICORS 2018. International Conference on Robust Statistics, (Leuven, BE, 20180702)

: Robust estimation, Multivariate data, Location and scatter, Shape estimator, Symmetry test

: https://wis.kuleuven.be/events/icors18/BookOfAbstracts

(eng): The basis for our work is a theoretical result explaining how various multivariate location and scatter estimators capture the symmetry of the underlying distribution. Various forms of symmetry considered in the paper include central symmetry, marginal symmetry, symmetry around an affine subspace, and symmetry around a coordinate axis. Very general sufficient conditions are formulated, which ensure various symmetry properties of functionals corresponding to location or scatter. There is a variety of robust multivariate estimators, which fulfil these sufficient conditions.

: BA

: 10103

2019-01-07 08:39