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Ước lượng Hợp lý Tối đa×Thuật toán EM×
Lĩnh vựcThống kêThống kê
HọRegression modelMachine learning
Năm ra đời19221977
Người khởi xướngR. A. FisherDempster, Laird & Rubin
LoạiParametric point estimatorIterative optimization algorithm
Công trình gốcFisher, R. A. (1922). On the mathematical foundations of theoretical statistics. Philosophical Transactions of the Royal Society of London, Series A, 222, 309–368. DOI ↗Dempster, A. P., Laird, N. M., & Rubin, D. B. (1977). Maximum likelihood from incomplete data via the EM algorithm. Journal of the Royal Statistical Society: Series B, 39(1), 1–38. DOI ↗
Tên gọi khácMLE, maximum-likelihood estimator, ML estimation, Fisher's method of maximum likelihoodEM, Expectation-Maximization, Maximum Likelihood via Incomplete Data, BM Algoritması
Liên quan42
Tóm tắtMaximum Likelihood Estimation (MLE) is a general-purpose parametric method for estimating the unknown parameters of a statistical model by finding the parameter values that make the observed data most probable. Formalized by R. A. Fisher in his landmark 1922 paper in the Philosophical Transactions of the Royal Society, MLE has become the dominant parameter-estimation paradigm in modern statistics and is the foundational engine behind logistic regression, generalized linear models, structural equation modeling, and virtually all parametric inference procedures.The Expectation-Maximization (EM) algorithm is an iterative optimization procedure for finding maximum likelihood or maximum a posteriori estimates of parameters in statistical models with latent variables or missing data. Introduced by Dempster, Laird, and Rubin in their landmark 1977 paper, EM alternates between computing the expected complete-data log-likelihood (E-step) and maximizing it with respect to the parameters (M-step), guaranteeing monotone non-decreasing likelihood at each iteration.
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