Convergence of posteriors for discretized log Gaussian Cox processes

被引：19
|
作者：
Waagepetersen, R [1 ]
机构：
[1] Univ Aalborg, Dept Math Sci, DK-9220 Aalborg, Denmark
来源：
STATISTICS & PROBABILITY LETTERS | 2004年 / 66卷 / 03期
关键词：
Bayesian inference; discretization; log Gaussian Cox process; Monte Carlo; point processes; posterior;
D O I：
10.1016/j.spl.2003.10.014
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
In Markov chain Monte Carlo posterior computation for log Gaussian Cox processes (LGCPs) a discretization of the continuously indexed Gaussian field is required. It is demonstrated that approximate posterior expectations computed from discretized LGCPs converge to the exact posterior expectations when the cell sizes of the discretization tends to zero. The effect of discretization is studied in a data example. (C) 2003 Elsevier B.V. All rights reserved.
引用
收藏
页码：229 / 235
页数：7
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