Tail Approximations for Maxima of Random Fields by Likelihood Ratio Transformations

Tail Approximations for Maxima of Random Fields by Likelihood Ratio Transformations
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通过似然比变换对随机场最大值进行尾部近似

DOI:
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发表时间:
2010
期刊:
影响因子:
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通讯作者:
N. Zhang
N. Zhang
中科院分区:
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文献类型:
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作者:
D. Siegmund;B. Yakir;N. Zhang

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Yakir和Pollak(1998)处理变点问题的似然比方法,后来被推广到处理各种各样的涉及随机场极大值的问题,它的一个关键组成部分是对数似然比的条件局部极限定理,给出了一个几乎独立的“局部”σ-代数。本文包含了该定理的一般版本,并通过几个例子进行了说明。
Abstract The likelihood ratio method for dealing with change-point problems of Yakir and Pollak (1998), which has subsequently been extended to deal with a wide variety of problems involving maxima of random fields, has as a key ingredient a conditional local limit theorem for a log-likelihood ratio, given an almost independent “local” sigma-algebra. This article contains a general version of that theorem, illustrated by several examples.
DOI: 10.1093/biomet/asq025
发表时间: 2010-09-01
期刊: BIOMETRIKA
影响因子: 2.7
作者:
Zhang, Nancy R.;Siegmund, David O.;Li, Jun Z.
通讯作者: Li, Jun Z.