On spatial skew-Gaussian processes and applications

被引:70
|
作者
Zhang, Hao [1 ]
El-Shaarawi, Abdel [2 ]
机构
[1] Purdue Univ, Dept Stat, W Lafayette, IN 47907 USA
[2] Environm Canada, Natl Water Res Inst, Burlington, ON L7R 4A6, Canada
基金
美国国家科学基金会;
关键词
EM algorithm; Matern covariogram; skew-normal distribution; skew-Gaussian process; slice sampling; LINEAR MIXED MODELS; BAYESIAN PREDICTION; DISTRIBUTIONS; ALGORITHMS; FIELDS;
D O I
10.1002/env.982
中图分类号
X [环境科学、安全科学];
学科分类号
08 ; 0830 ;
摘要
In many applications, observed spatial variables have skewed distributions. It is often of interest to model the shape of the skewed marginal distributions as well as the spatial correlations. We propose a class of stationary processes that have skewed marginal distributions. The covariance function of the process can be given explicitly. We Study maximum likelihood inference through a Monte Carlo EM algorithm, and develop a method for the minimum mean-square error prediction. We also present two applications of the process. Copyright (C) 2009 John Wiley & Sons, Ltd.
引用
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页码:33 / 47
页数:15
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