Gauss-Markov Theorem

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.
Homoscedasticity: Equal Variance in Statistical Data
A comprehensive coverage of the concept of homoscedasticity, its significance in linear regression, implications of its violation, and related terms and considerations.

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