@article{RSA_1994__42_1_63_0, author = {Berda\"\i , A. and Garel, B.}, title = {Performances d'un test d'homog\'en\'eit\'e contre une hypoth\`ese de m\'elange gaussien}, journal = {Revue de Statistique Appliqu\'ee}, volume = {42}, year = {1994}, pages = {63-79}, mrnumber = {1278467}, zbl = {0972.62505}, language = {fr}, url = {http://dml.mathdoc.fr/item/RSA_1994__42_1_63_0} }
Berdaï, A.; Garel, B. Performances d'un test d'homogénéité contre une hypothèse de mélange gaussien. Revue de Statistique Appliquée, Tome 42 (1994) pp. 63-79. http://gdmltest.u-ga.fr/item/RSA_1994__42_1_63_0/
Robust Estimates of Location. Princeton University Press. | MR 331595 | Zbl 0254.62001
, , , , , (1972),Une étude asymptotique et numérique de la loi limite du test de mélange de deux lois contre une seule. Technical report, S.B.I.A., I.N.R.A. Toulouse.
(1991),Stationnary and related stochastic Process. New York: Wiley. | MR 217860 | Zbl 0162.21102
, (1967),Hypothesis testing when a nuisance parameter is present only under the atemative. Biometrika,64, 247- 254. | MR 501523 | Zbl 0362.62026
(1977),Hypothesis testing when a nuisance parameter is present only under the alternative. Biometrika,74, 33- 43. | MR 885917 | Zbl 0612.62023
(1987),On the asymptotic performance of the Log likelihood ratio statistic for the mixture model and related results. Proc. Berkeley Conference in honor of Jerzy Neyman and Jack Kiefer (vol.II), L.M. Le Cam and R.A. Olshen (Eds.). Monterey: Wadsworth, p. 789-806. | MR 822065
, (1985),Statistical theory in clustering. J.Classification, 2, 63-76. | MR 800514 | Zbl 0575.62058
(1985a),A failure of likelihood asymptotics for normal mixtures, Proc. Berkeley Conference in honor of Jerzy Neymann and Jack Kiefer (vol.99), L. M. Le Cam and R.A. Oshen (Eds). Monterey
(1985b),Encyclopedia of Statistical Sciences, vol.4, p. 3-4. | Zbl 0585.62002
, (1983),Mixture models : Inference and applications to clustering. Marcel Dekker, New York. | MR 926484 | Zbl 0697.62050
, (1988),The likelihood ratio test for two component normal mixture problem : power and sample size analysis. Biometrics, 47, 1143 -1148.
, , , (1991),Note on the consistency of the maximum likelihood estimate for non identifiable distributions. Ann. Statist., 9, 225- 228. | MR 600553 | Zbl 0453.62021
(1981),Asymptotic properties of maximum likelihood estimators and likelihood ratio tests under non standard conditions. JASA, vol. 82, N° 398, 605-610. | MR 898365 | Zbl 0639.62020
, (1987),Simulated percentage points for the null distribution of the likelihood ratio test for a mixture of two normals. Biometrics, 44, 1195-1201. | MR 981003 | Zbl 0715.62040
, , (1988),Some recent research in the analysis of mixture distributions. Statistics, 21,4, 619-641. | MR 1087291 | Zbl 0714.62023
(1990),Statistical analysis of finite mixture distributions. Wiley, London. | MR 838090 | Zbl 0646.62013
, , (1985),On the identifiability of finite mixtures. IEEE Trans. Inform. Th., IT-16, 330- 338. | Zbl 0197.45502
, (1968),Tests of statistical hypotheses concerning several parameters when the number of observations is large. Trans. Am. Math. Soc, 54, 426 -482. | MR 12401 | Zbl 0063.08120
(1943),A Monte Carlo study of the sampling distribution of the likelihhod ratio for mixtures of multinomial distributions. Tech. Bull. STB,72-2, Nav. Pers & Tran. Res. Lab., San Diego.
(1971),