The distribution of the likelihood ratio for mixtures of densities from the one-parameter exponential family
Tóm tắt
Từ khóa
Tài liệu tham khảo
Agha, M. and Ibrahim, M. T. (1984). Maximum likelihood estimation of mixtures of distributions,J. Roy. Statist. Soc. Ser. C,33, 327–332.
Böhning, D. (1982). Convergence of Simar's algorithm for finding the maximum likelihood estimate of a compound Poisson process,Ann. Statist.,10, 1006–1008.
Böhning, D. (1989). Likelihood inference for mixtures: geometrical and other constructions of monotone step-length algorithms,Biometrika,76, 375–383.
Böhning, D. and Hoffmann, K.-H. (1982). Numerical techniques for estimating probabilities,J. Statist. Comput. Simulation,14, 283–293.
Böhning, D., Schlattmann, P. and Lindsay, B. G. (1992). Computer assisted analysis of mixtures (C.A.MAN): statistical algorithms,Biometrics,48, 283–303.
Dempster, A. P., Laird, N. M. and Rubin, D. B. (1977). Maximum likelihood estimation from incomplete data via the EM algorithm (with discussion),J. Roy. Statist. Soc. Ser. B,39, 1–38.
Gediga, G. and Holling, H. (1988). On the convergence of the EM algorithm including different methods of Aitken acceleration for finite mixture models,Proceedings of the COMPSTAT Congress, Short Communications and Posters, 31–32.
Gibbons, R. D., Clark, D. C. and Fawcett, J. (1990). A statistical method for evaluating suicide clusters and implementing cluster surveillance,American Journal of Epidemiology,132, 183–191.
Goffinet, B., Loisel, P. and Laurent, B. (1992). Testing in normal mixture models when the proportions are known,Biometrika,79, 842–846.
Laird, N., Lange, N. and Stram, D. (1985). Maximum likelihood computation with repeated measures: application of the EM algorithm,Proceedings of the Statistical Computing Section, 34–44.
Lesperance, M. and Kalbfleisch, J. D. (1992). An algorithm for computing the nonparametric MLE of a mixing distribution,J. Amer. Statist. Assoc.,87, 120–126.
Lindsay, B. G. (1983). The geometry of mixture likelihoods: a general theory,Ann. Statist.,11, 86–94.
Louis, T. A. (1982). Finding the observed information matrix when using the EM algorithm,J. Roy. Statist. Soc. Ser. B,44, 226–233.
McLachlan, G. J. and Basford, K. E. (1988).Mixture Models; Inference and Applications to Clustering, Marcel Dekker, New York.
Meilijson, I. (1989). A fast improvement to the EM algorithm in its own terms,J. Roy. Statist. Soc. Ser. B,51, 127–138.
Mendell, N. R., Thode, H. C. and Finch, S. J. (1991). The likelihood ratio test for the two-component normal mixture problem: power and sample size analysis,Biometrics,47, 1143–1148.
Self, S. G. and Liang, K.-Y. (1987). Asymptotic properties of maximum likelihood estimators and likelihood ratio tests under nonstandard conditions,J. Amer. Statist. Assoc.,82, 605–610.
Thode, H. C., Finch, S. J. and Mendell, N. R. (1988). Simulated percentage points for the null distribution of the likelihood ratio test,Biometrics,44, 1195–1201.
Titterington, D. M., Smith, A. F. M. and Makov, W. E. (1985).Statistical Analysis of Finite Mixture Distributions, Wiley, New York.