Linear Models

Gauss--Markov Theorem: Best Linear Unbiased Estimator in Regression Analysis
A theorem that under certain conditions, the ordinary least squares (OLS) estimator provides the Best Linear Unbiased Estimator (BLUE) of the linear regression coefficients. The conditions include a correct linear regression function and homoscedastic, serially uncorrelated errors for non-stochastic explanatory variables.
Limited Information Maximum Likelihood (LIML) Estimation: An Efficient Single Equation Estimator
A method of estimation of a single equation in a linear simultaneous equations model based on the maximization of the likelihood function, subject to the restrictions imposed by the structure.
Ordinary Least Squares: Estimation in Linear Regression
Ordinary Least Squares (OLS) is a method used in linear regression analysis to estimate the coefficients by minimizing the sum of squared residuals.

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