Upper bounds for the expected Jefferson rounding under mean-variance-skewness conditions (Q2772036)
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scientific article; zbMATH DE number 1706579
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Upper bounds for the expected Jefferson rounding under mean-variance-skewness conditions |
scientific article; zbMATH DE number 1706579 |
Statements
18 February 2002
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gain of rounding
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Jefferson rounding
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four-dimensional geometry
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geometric moment theory
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Upper bounds for the expected Jefferson rounding under mean-variance-skewness conditions (English)
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For the class of nonnegative random variables with given mean, variance, and some conditions on skewness and support, a sharp upper bound for the expectation of Jefferson rounding is presented. The result gives an estimate for average extra gains due to rounding down payments. Arguments of four-dimensional geometric moment theory implemented in the proof provide tools for refined evaluations of rates of convergence of probability distributions and positive linear operators.
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