Testing in locally conic models, and application to mixture models
D. Dacunha-Castelle, É. Gassiat (1997)
ESAIM: Probability and Statistics
Similarity:
D. Dacunha-Castelle, É. Gassiat (1997)
ESAIM: Probability and Statistics
Similarity:
Jean-Marc Azaïs, Élisabeth Gassiat, Cécile Mercadier (2009)
ESAIM: Probability and Statistics
Similarity:
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
Similarity:
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.