Upper bounds for the expected Jefferson rounding under mean-variance-skewness conditions

• Autorzy: Rychlik T.
• Języki publikacji: EN

Abstrakty

EN

A for the class of nonnegative random variables with given mean, variance, and skewness and support bound, we present a sharp upper bound for the expectation of rounding due to the Jefferson rule. 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.

Słowa kluczowe

EN

gain of rounding; Jefferson rounding; mean-variance-skewness; support constraints; geometric moment theory; four-dimensional geometry

• Wydawca: Wrocław University of Science and Technology
• Czasopismo: Probability and Mathematical Statistics
• Rocznik: 2000
• Tom: Vol. 20, Fasc. 1
• Strony: 1--18
• Opis fizyczny: Bibliogr. 13 poz.

Twórcy

autor

Rychlik T.

• Institute of Mathematics, Polish Academy of Sciences, ul. Chopina 12, 87-100 Toruń, Poland

Bibliografia

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