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	संरचनात्मक ब्रेक डब्ल्यूएलएस (संरचनात्मक ब्रेक सुधार के साथ भारित न्यूनतम वर्ग)	भारित न्यूनतम वर्ग (Weighted Least Squares - WLS)
क्षेत्र	अर्थमिति	सांख्यिकी
परिवार	Regression model	Regression model
उद्भव वर्ष	1998 (break framework); WLS long-established	1935
प्रवर्तक	Bai & Perron (structural break framework); WLS classical	Alexander Craig Aitken
प्रकार	Weighted regression with regime shifts	Weighted linear estimator
मौलिक स्रोत	Bai, J., & Perron, P. (1998). Estimating and testing linear models with multiple structural changes. Econometrica, 66(1), 47-78.	Aitken, A. C. (1935). IV.—On least squares and linear combination of observations. Proceedings of the Royal Society of Edinburgh, 55, 42–48.
उपनाम	WLS with structural change, break-corrected WLS, segmented WLS, structural break weighted regression	WLS, weighted regression, heteroscedasticity-corrected OLS, variance-weighted least squares
संबंधित	5	3
सारांश	Structural Break WLS combines Weighted Least Squares estimation with explicit detection and correction for structural breaks — abrupt regime shifts — in the data. By identifying break points and assigning observation-level weights that account for heteroscedasticity within and across regimes, the estimator delivers consistent, efficient coefficient estimates even when the error variance changes dramatically at a break.	Weighted 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.