On distance in total variation between image measures

DOI10.1016/j.spl.2017.06.022zbMath1380.60025arXiv1611.03009OpenAlexW2557179715MaRDI QIDQ1687251

Youri Davydov

Publication date: 22 December 2017

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.03009

zbMATH Keywords

Gaussian polynomialstotal variation distanceimage-measuresNikol'ski-Besov class

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Probability distributions: general theory (60E05) Probabilistic measure theory (60A10)

Related Items (5)

Chebyshev--Hermite Polynomials and Distributions of Polynomials in Gaussian Random Variables ⋮ On distributions of trigonometric polynomials in Gaussian random variables ⋮ Total variation distance between stochastic polynomials and invariance principles ⋮ Non-central limit theorems for functionals of random fields on hypersurfaces ⋮ Fractional smoothness of distributions of trigonometric polynomials on a space with a Gaussian measure

Cites Work

• Unnamed Item
• Membership of distributions of polynomials in the Nikolskii-Besov class
• Multiple Wiener-Ito integrals. With applications to limit theorems
• Convergence in total variation on Wiener chaos
• On Distributions of Multiple Wiener–ITô Integrals

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