Order-restricted hypothesis testing in a variation of the normal mixture model

被引:2
|
作者
Nettleton, D [1 ]
机构
[1] Univ Nebraska, Dept Math & Stat, Lincoln, NE 68588 USA
关键词
asymptotic distribution; interval mapping; likelihood-ratio test; maximum-likelihood estimator; mixture model; order-restricted inference; polyhedral cone; quantitative trait loci;
D O I
10.2307/3315647
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
This paper examines likelihood-ratio tests concerning the relationships among a fixed number of univariate normal means given a sample of normal observations whose population membership is uncertain. The asymptotic null distributions of likelihood-ratio test statistics are derived for a class of tests including hypotheses which place linear inequality constraints on the normal means. The use of such tests in the interval mapping of quantitative trait loci is addressed.
引用
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页码:383 / 394
页数:12
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