Asymptotic normality in mixture models
ESAIM: Probability and Statistics, Tome 1 (1997), pp. 17-33. 
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     author = {Van De Geer, Sara},
     title = {Asymptotic normality in mixture models},
     journal = {ESAIM: Probability and Statistics},
     pages = {17--33},
     publisher = {EDP-Sciences},
     volume = {1},
     year = {1997},
     mrnumber = {1382516},
     zbl = {0867.62026},
     language = {en},
     url = {http://archive.numdam.org/item/PS_1997__1__17_0/}
}
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Van De Geer, Sara. Asymptotic normality in mixture models. ESAIM: Probability and Statistics, Tome 1 (1997), pp. 17-33. http://archive.numdam.org/item/PS_1997__1__17_0/

Birgé, L. and Massart, P., ( 1993), Rates of convergence for minimum contrast estimators, Probab. Th. Relat. Fields 97 113-150. | MR | Zbl

Birman, M. and Solomjak, M.J., ( 1967), Piece-wise polynomial approximations of functions of the classes W∞p, Mat. Sbornik 73 295-317. | Zbl

Groeneboom, P. and Wellner, J.A., ( 1992), Information Bounds and Nonparametric Maximum Likelihood Estimation, BMW Seminar, Band 19, Birkhäuser. | MR | Zbl

Ossiander, M. ( 1987), A central limit theorem under metric entropy with L2 bracketing, Ann. Probab. 15 897-919. | MR | Zbl

Pfanzagl, J., ( 1988), Consistency of maximum likelihood estimators for certain nonparametric families, in particular: mixtures, J. Statist. Plann. Inference 19 137-158. | MR | Zbl

Pollard, D. ( 1984), Convergence of Stochastic Processes, Springer, New York. | MR | Zbl

Van De Geer, S. ( 1990), Estimating a regression function, Ann. Statist. 18 907-924. | MR | Zbl

Van De Geer, S., ( 1991), The entropy bound for monotone functions, Techn. Report TW 91-10, Univ. of Leiden.

Van De Geer, S. ( 1993a), Hellinger consistency of certain nonparametric maximum likelihood estimators, Ann. Statist. 21 14-44. | MR | Zbl

Van De Geer, S. ( 1993b), Rates of convergence for the maximum likelihood estimator in mixture models, Techn. Report TW 93-09, Univ. of Leiden.

Van De Geer, S. ( 1995), The method of sieves and minimum contrast estimators, Mathematical Methods of Statistics 4 20-38. | MR | Zbl

Van Der Laan, M.J. ( 1993), Efficient and Inefficient Estimation in Semiparametric Models Thesis, Univ. of Utrecht. To appear as CWI tract 44, Centre for Math. and Comp. Sci., Amsterdam. | MR | Zbl

Van Der Laan, M. J. ( 1994), Proving efficiency of NPMLE and identities, Techn. Report 44, Un. of California, Berkeley.

Van Der Vaart, A.W. ( 1991), On differentiable functionals, Ann. Statist. 19 178-205. | MR | Zbl

Wong, W.H. and Shen, X. ( 1992), Probability inequalities for likelihood ratios and convergence rates for sieve MLE's, Techn. Report 346, Univ. of Chicago.