Ehrhard-type inequality for isotropic Cauchy distribution on the plane

IF 0.4 4区数学 Q4 STATISTICS & PROBABILITY

Probability and Mathematical Statistics-Poland Pub Date : 2022-01-01 DOI:10.37190/0208-4147.00036

T. Byczkowski, T. Żak, J. Małecki

引用次数: 0

Abstract

. We prove an analogue of Ehrhard’s inequality for the two-dimensional isotropic Cauchy measure. In contrast to the Gaussian case, the inequality is not valid for non-convex sets. We provide the proof for rectangles which are symmetric with respect to one coordinate axis.

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平面上各向同性柯西分布的ehrhard型不等式

．我们证明了二维各向同性柯西测度的类似Ehrhard不等式。与高斯情况相反，这个不等式对于非凸集是无效的。我们给出了关于一个坐标轴对称的矩形的证明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Probability and Mathematical Statistics-Poland STATISTICS & PROBABILITY-

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： PROBABILITY AND MATHEMATICAL STATISTICS is published by the Kazimierz Urbanik Center for Probability and Mathematical Statistics, and is sponsored jointly by the Faculty of Mathematics and Computer Science of University of Wrocław and the Faculty of Pure and Applied Mathematics of Wrocław University of Science and Technology. The purpose of the journal is to publish original contributions to the theory of probability and mathematical statistics.