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This article is cited in 1 scientific paper (total in 1 paper)
Short Communications
Estimates for moduli of smoothness of distribution functions
J. A. Adell, A. Lekuona University of Zaragoza
Abstract:
We give upper bounds for the usual moduli of smoothness of a distribution function $F$ in terms of its characteristic function $\varphi$. In particular, we complete some known estimates of the concentration function of $F$. Our approach uses a new version of the classical Berry–Esseen smoothing inequality.
Keywords:
modulus of smoothness, concentration function, characteristic function, smoothing inequality.
Received: 22.11.2004
Citation:
J. A. Adell, A. Lekuona, “Estimates for moduli of smoothness of distribution functions”, Teor. Veroyatnost. i Primenen., 52:1 (2007), 186–190; Theory Probab. Appl., 52:1 (2008), 148–152
Linking options:
https://www.mathnet.ru/eng/tvp14https://doi.org/10.4213/tvp14 https://www.mathnet.ru/eng/tvp/v52/i1/p186
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Abstract page: | 373 | Full-text PDF : | 131 | References: | 56 | First page: | 22 |
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