The Geometry of Mixture Likelihoods: A General Theory
作者： Bruce G. Lindsay
关键词: Distribution (mathematics) 、 Parametric statistics 、 Estimator 、 Exponential family 、 Uniqueness 、 Maximum likelihood sequence estimation 、 Mathematical optimization 、 Expectation–maximization algorithm 、 Convex hull 、 Applied mathematics 、 Mathematics
摘要: … the maximum likelihood estimator of a mixing distribution are shown to be geometric properties … In this section the maximization problem is recast by means of differentiation into a more …
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sci-hub.se 参考文章(19)
Bruce G. Lindsay, Properties of the Maximum Likelihood Estimator of a Mixing Distribution Statistical Distributions in Scientific Work. pp. 95- 109 ,(1981) , 10.1007/978-94-009-8552-0_8
Robert Ralph Phelps, Lectures on Choquet's Theorem ,(1966)
David L. Hill, Roy Saunders, Purushottam W. Laud, Maximum likelihood estimation for mixtures Canadian Journal of Statistics-revue Canadienne De Statistique. ,vol. 8, pp. 87- 93 ,(1980) , 10.2307/3314673
Nan Laird, Nonparametric Maximum Likelihood Estimation of a Mixing Distribution Journal of the American Statistical Association. ,vol. 73, pp. 805- 811 ,(1978) , 10.1080/01621459.1978.10480103
Dankmar Böhning, Karl-Heinz Hoffmann, Numerical techniques for estimating probabilities Journal of Statistical Computation and Simulation. ,vol. 14, pp. 283- 293 ,(1982) , 10.1080/00949658208810549
S. D. Silvey, D. M. Titterington, A geometric approach to optimal design theory Biometrika. ,vol. 60, pp. 21- 32 ,(1973) , 10.1093/BIOMET/60.1.21
A. P. Dempster, N. M. Laird, D. B. Rubin, Maximum Likelihood from Incomplete Data Via theEMAlgorithm Journal of the Royal Statistical Society: Series B (Methodological). ,vol. 39, pp. 1- 22 ,(1977) , 10.1111/J.2517-6161.1977.TB01600.X
Henry P. Wynn, The Sequential Generation of $D$-Optimum Experimental Designs Annals of Mathematical Statistics. ,vol. 41, pp. 1655- 1664 ,(1970) , 10.1214/AOMS/1177696809
Friedrich Pukelsheim, On linear regression designs which maximize information Journal of Statistical Planning and Inference. ,vol. 4, pp. 339- 364 ,(1980) , 10.1016/0378-3758(80)90020-8
Dankmar Bohning, Convergence of Simar's Algorithm for Finding the Maximum Likelihood Estimate of a Compound Poisson Process Annals of Statistics. ,vol. 10, pp. 1006- 1008 ,(1982) , 10.1214/AOS/1176345890