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EM অ্যালগরিদম×সর্বোচ্চ সম্ভাব্যতার অনুমান×MICE×
ক্ষেত্রপরিসংখ্যানপরিসংখ্যানপরিসংখ্যান
পরিবারMachine learningRegression modelProcess / pipeline
উদ্ভবের বছর197719222011
প্রবর্তকDempster, Laird & RubinR. A. FisherStef van Buuren & Karin Groothuis-Oudshoorn
ধরনIterative optimization algorithmParametric point estimatorIterative multiple imputation algorithm
মৌলিক উৎসDempster, 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 ↗Fisher, R. A. (1922). On the mathematical foundations of theoretical statistics. Philosophical Transactions of the Royal Society of London, Series A, 222, 309–368. DOI ↗van Buuren, S., & Groothuis-Oudshoorn, K. (2011). mice: Multivariate imputation by chained equations in R. Journal of Statistical Software, 45(3), 1–67. DOI ↗
অপর নামEM, Expectation-Maximization, Maximum Likelihood via Incomplete Data, BM AlgoritmasıMLE, maximum-likelihood estimator, ML estimation, Fisher's method of maximum likelihoodFully Conditional Specification, Sequential Regression Multivariate Imputation, Chained Equations Imputation, Zincirleme Denklemlerle Çoklu Atama
সম্পর্কিত243
সারসংক্ষেপThe 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.Maximum 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.Multivariate Imputation by Chained Equations (MICE) is an iterative procedure for handling missing data in multivariate datasets. Introduced by Stef van Buuren and Karin Groothuis-Oudshoorn through the R package mice (2011), the algorithm fills each missing variable using a separate regression model conditioned on all other variables, cycling through variables repeatedly until the imputed values converge. The result is m completed datasets that are analysed separately and combined using Rubin's rules.
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ScholarGateপদ্ধতির তুলনা করুন: EM Algorithm · Maximum Likelihood Estimation · MICE. 2026-06-15 তারিখে সংগৃহীত, উৎস: https://scholargate.app/bn/compare