Total variation distance estimates via $L^2$-norm for polynomials in log-concave random vectors

Egor Kosov

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arXiv · 1812.02411

Total variation distance estimates via $L^2$-norm for polynomials in log-concave random vectors

Egor Kosov

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Abstract

The paper provides an estimate of the total variation distance between distributions of polynomials defined on a space equipped with a logarithmically concave measure in terms of the $L^2$-distance between these polynomials.

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Egor Kosov. 2018-12-06. Total variation distance estimates via $L^2$-norm for polynomials in log-concave random vectors. https://arxiv.org/abs/1812.02411

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