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প্রভাব নির্ণায়ক (কুকের দূরত্ব, DFFITS, লিভারেজ)×প্রধান উপাদান বিশ্লেষণ×Robust Covariance Estimation (MCD)×
ক্ষেত্রপরিসংখ্যানযন্ত্র শিখনপরিসংখ্যান
পরিবারRegression modelMachine learningRegression model
উদ্ভবের বছর197720021999
প্রবর্তকR. Dennis Cook (Cook's distance); Belsley, Kuh & Welsch (DFFITS, leverage)Jolliffe, I.T. (textbook); Pearson & Hotelling (origins)Rousseeuw; Rousseeuw & Van Driessen (Fast-MCD)
ধরনRegression diagnosticUnsupervised dimensionality reductionRobust multivariate location-scatter estimator
মৌলিক উৎসCook, R. D. (1977). Detection of Influential Observations in Linear Regression. Technometrics, 19(1), 15-18. DOI ↗Jolliffe, I.T. (2002). Principal Component Analysis (2nd ed.). Springer. DOI ↗Rousseeuw, P. J. & Van Driessen, K. (1999). A Fast Algorithm for the Minimum Covariance Determinant Estimator. Technometrics, 41(3), 212-223. DOI ↗
অপর নামCook's distance, DFFITS, leverage, influential observation detectionTemel Bileşenler Analizi (PCA), PCA, principal components analysis, Karhunen-Loève transformminimum covariance determinant, MCD estimator, robust covariance estimation, Robust Kovaryans Tahmini (MCD)
সম্পর্কিত534
সারসংক্ষেপInfluence diagnostics are a family of post-fit measures that quantify how much each single observation affects a fitted regression. Cook's distance was introduced by R. Dennis Cook in 1977, with leverage and DFFITS formalised by Belsley, Kuh and Welsch in 1980, to flag the observations that most strongly pull the estimated coefficients.Principal Component Analysis (PCA) is an unsupervised dimensionality-reduction method — given its modern textbook treatment by Ian Jolliffe (2002) — that compresses high-dimensional data into fewer dimensions while preserving the maximum possible variance. It re-expresses correlated variables as a small set of uncorrelated principal components ordered by how much of the data's variation each one captures.Robust Covariance via the Minimum Covariance Determinant (MCD) estimates a multivariate mean vector and covariance matrix that are not distorted by outliers. It was made practical by the Fast-MCD algorithm of Rousseeuw and Van Driessen (1999), building on Rousseeuw's earlier work on robust estimation.
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ScholarGateপদ্ধতির তুলনা করুন: Influence Diagnostics · Principal Component Analysis · Robust Covariance (MCD). 2026-06-18 তারিখে সংগৃহীত, উৎস: https://scholargate.app/bn/compare