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- W1479883221 abstract "Exact upper bounds on the Winsorised-tilted mean of a random variable in terms of its first two moments are given. Such results are needed in work on nonuniform Berry--Esseen-type bounds for general nonlinear statistics. As another application, optimal upper bounds on the Bayes posterior mean are provided. Certain monotonicity properties of the tilted mean are also presented." @default.
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- W1479883221 date "2018-01-01" @default.
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- W1479883221 title "Exact bounds on the truncated-tilted mean, with applications" @default.
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- W1479883221 doi "https://doi.org/10.4213/tvp5174" @default.
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