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भारित न्यूनतम वर्ग (Weighted Least Squares - WLS)×व्हाइट टेस्ट फॉर हेटेरोस्केडेस्टिसिटी×
क्षेत्रसांख्यिकीअर्थमिति
परिवारRegression modelRegression model
उद्भव वर्ष19351980
प्रवर्तकAlexander Craig AitkenHalbert White
प्रकारWeighted linear estimatorGeneral test for heteroskedasticity
मौलिक स्रोतAitken, A. C. (1935). IV.—On least squares and linear combination of observations. Proceedings of the Royal Society of Edinburgh, 55, 42–48. DOI ↗White, H. (1980). A heteroskedasticity-consistent covariance matrix estimator and a direct test for heteroskedasticity. Econometrica, 48(4), 817–838. DOI ↗
उपनामWLS, weighted regression, heteroscedasticity-corrected OLS, variance-weighted least squaresWhite's general heteroskedasticity test, White değişen varyans testi
संबंधित33
सारांशWeighted Least Squares is a generalization of Ordinary Least Squares (OLS) regression that assigns each observation a weight inversely proportional to its error variance, thereby down-weighting high-variance data points and up-weighting precise ones. Introduced in its general matrix form by Alexander Craig Aitken in 1935, WLS is the canonical remedy when heteroscedasticity is present and the error variance structure is known or can be reliably estimated.The White test, introduced by Halbert White in 1980, is a general test for heteroskedasticity that makes no assumption about its functional form. It regresses the squared OLS residuals on the regressors, their squares, and their cross-products, so it can detect heteroskedasticity related to any of these terms. The same 1980 paper introduced the heteroskedasticity-consistent ('White') standard errors that are the standard remedy when the test rejects.
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