Inversion Formulas in the Case of a Discontinuous Limit Law

Inversion Formulas in the Case of a Discontinuous Limit Law

This paper is devoted to the estimation of the distance in a uniform metric between the distribution function F and a discontinuous function of bounded variation G by means of the difference of their Fourier--Stieltjes transforms and the concentration functions F and G in the neighbourhood of discon...

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Veröffentlicht in:Theory of probability and its applications 1998-01, Vol.42 (1), p.1-16
Hauptverfasser: Aleskeviciene, A. K., Statulevicius, V. A.
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Sprache:eng
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Estimates
Random variables
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container_title Theory of probability and its applications
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creator Aleskeviciene, A. K.
Statulevicius, V. A.
description This paper is devoted to the estimation of the distance in a uniform metric between the distribution function F and a discontinuous function of bounded variation G by means of the difference of their Fourier--Stieltjes transforms and the concentration functions F and G in the neighbourhood of discontinuity points.
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source SIAM_工业和应用数学学会过刊
subjects Estimates
Random variables
title Inversion Formulas in the Case of a Discontinuous Limit Law
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