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Order‐restricted hypothesis testing in a variation of the normal mixture model
Author(s) -
Nettleton Dan
Publication year - 1999
Publication title -
canadian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.804
H-Index - 51
eISSN - 1708-945X
pISSN - 0319-5724
DOI - 10.2307/3315647
Subject(s) - mathematics , statistics , univariate , likelihood ratio test , population , humanities , combinatorics , econometrics , demography , multivariate statistics , philosophy , sociology
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.