Improved one-sided deviation inequalities under regularity assumptions for product measures
ESAIM: Probability and Statistics, Tome 23 (2019), pp. 979-990.

This note is concerned with lower tail estimates for product measures. Some improved deviation inequalities are obtained for functions satisfying some regularity and monotonicity assumptions. The arguments are based on semigroup interpolation together with Harris’s negative association inequality and hypercontractive estimates.

DOI : 10.1051/ps/2019014
Classification : 60E15, 26D10, 47D07
Mots-clés : Functional inequalities, semigroups, hypercontractivity, convexity
Tanguy, Kevin 1

1 
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     title = {Improved one-sided deviation inequalities under regularity assumptions for product measures},
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     url = {http://archive.numdam.org/articles/10.1051/ps/2019014/}
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Tanguy, Kevin. Improved one-sided deviation inequalities under regularity assumptions for product measures. ESAIM: Probability and Statistics, Tome 23 (2019), pp. 979-990. doi : 10.1051/ps/2019014. http://archive.numdam.org/articles/10.1051/ps/2019014/

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