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সাধারণীকৃত ন্যূনতম বর্গ (GLS)×সাধারণ ন্যূনতম বর্গক্ষেত্র (OLS) রিগ্রেশন×Robust OLS (OLS with Robust Standard Errors)×
ক্ষেত্রপরিসংখ্যানঅর্থমিতিঅর্থমিতি
পরিবারRegression modelRegression modelRegression model
উদ্ভবের বছর193520191980
প্রবর্তকAlexander Craig AitkenWooldridge (textbook treatment); classical least squaresHalbert White
ধরনLinear estimatorLinear regressionLinear regression with robust inference
মৌলিক উৎসAitken, A. C. (1935). IV.—On least squares and linear combination of observations. Proceedings of the Royal Society of Edinburgh, 55, 42–48. DOI ↗Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860White, H. (1980). A heteroskedasticity-consistent covariance matrix estimator and a direct test for heteroskedasticity. Econometrica, 48(4), 817–838. DOI ↗
অপর নামGLS, Aitken estimator, EGLS, feasible GLSordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonuHC robust regression, White robust OLS, sandwich estimator OLS, OLS with robust standard errors
সম্পর্কিত356
সারসংক্ষেপGeneralized Least Squares (GLS) is a linear regression estimator that extends ordinary least squares to handle situations where the error terms are correlated or have non-constant variance (heteroscedasticity). Introduced by Alexander Craig Aitken in 1935, GLS achieves the Best Linear Unbiased Estimator (BLUE) under a general error covariance structure by weighting observations according to their precision, providing a theoretical bridge between OLS and modern linear mixed models.Ordinary Least Squares is the classical linear regression method that explains a continuous outcome as a linear combination of predictors. It estimates the coefficients by minimising the sum of squared residuals, and under the Gauss-Markov assumptions these estimates are the best linear unbiased estimator (BLUE).Robust OLS applies ordinary least squares to estimate coefficients and then replaces the classical standard errors with heteroscedasticity-consistent (HC) standard errors — commonly called White standard errors. This leaves the point estimates unchanged while yielding valid t-statistics and confidence intervals even when the error variance is not constant across observations.
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ScholarGateপদ্ধতির তুলনা করুন: Generalized Least Squares · OLS Regression · Robust OLS. 2026-06-19 তারিখে সংগৃহীত, উৎস: https://scholargate.app/bn/compare