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- W2905920105 abstract "We derive explicit Berry-Esseen bounds in the total variation distance for the Breuer-Major central limit theorem, in the case of a subordinating function $varphi$ satisfying minimal regularity assumptions. Our approach is based on the combination of the Malliavin-Stein approach for normal approximations with Gebelein's inequality, bounding the covariance of functionals of Gaussian fields in terms of maximal correlation coefficients." @default.
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- W2905920105 date "2019-01-01" @default.
- W2905920105 modified "2023-09-26" @default.
- W2905920105 title "Berry-Esseen bounds in the Breuer-Major CLT and Gebelein’s inequality" @default.
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- W2905920105 doi "https://doi.org/10.1214/19-ecp241" @default.
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