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The distribution of the maximum likelihood-ratio statistic used for testing a normal sample for three outliers

✍ Scribed by L. K. Shiryaeva

Book ID
119932588
Publisher
Allerton Press, Inc.
Year
2012
Tongue
English
Weight
529 KB
Volume
56
Category
Article
ISSN
1066-369X

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Large sample distribution of the likelihood ratio test for normal mixtures
✍ Hanfeng Chen; Jiahua Chen πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 120 KB

This article concerns with the problem of testing whether a mixture of two normal distributions with bounded means and speciΓΏc variance is simply a pure normal. The large sample behavior of the likelihood ratio test for the problem is carefully investigated. In the case of one mean parameter, it is