Skew-Gaussian random field

被引：8

作者：

Alodat, M. T. ^{[1
]}

Al-Rawwash, M. Y. ^{[1
]}

机构：

[1] Yarmouk Univ, Dept Stat, Irbid, Jordan

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2009年 / 232卷 / 02期

关键词：

Excursion set; Gaussian random field; Skew-normal distribution; Surface roughness;

D O I：

10.1016/j.cam.2009.06.025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we introduce the concept of skewness to the Gaussian random field theory by defining a new two-dimensional non-Gaussian random field called skew-Gaussian random field. We derive the expected Euler characteristic of its excursion set. Moreover, an approximation to the size distribution of one connected component is derived. As an illustration, we present a simulation study to compare the approximation mechanism with the exact one. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：496 / 504

页数：9

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