Testing in locally conic models, and application to mixture models
D. Dacunha-Castelle, É. Gassiat (1997)
ESAIM: Probability and Statistics
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D. Dacunha-Castelle, É. Gassiat (1997)
ESAIM: Probability and Statistics
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Jean-Marc Azaïs, Élisabeth Gassiat, Cécile Mercadier (2009)
ESAIM: Probability and Statistics
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This paper deals with the likelihood ratio test (LRT) for testing hypotheses on the mixing measure in mixture models with or without structural parameter. The main result gives the asymptotic distribution of the LRT statistics under some conditions that are proved to be almost necessary. A detailed solution is given for two testing problems: the test of a single distribution against any mixture, with application to Gaussian, Poisson and binomial distributions; the test of the number...
David R. Cox (1983)
Qüestiió
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A review is given of recent work on asymptotic theory leading to a recommendation to use ratio likelihood rests with, where available, a Bartlett adjustment factor.
Albert Sorribas, José M. Muiño, Montserrat Rué, Joan Fibla (2006)
SORT
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The GS-distribution is a family of distributions that provide an accurate representation of any unimodal univariate continuous distribution. In this contribution we explore the utility of this family as a general model in survival analysis. We show that the survival function based on the GS-distribution is able to provide a model for univariate survival data and that appropriate estimates can be obtained. We develop some hypotheses tests that can be used for checking the underlying survival...