Gauss Markov Theorem

[ps_ricky_son]

Can anyone explain what the theorem is about? many thx

 

[ShaktiRathore]

Hi
The theorem states that following assumptions of linear regression and linearity,ols(ordinary least square method which results in regression equation)estimates of regression coefficients are BLUE(best linear unbiased estimators) among all available methods of finding estimates of regression. The theorem states that ols estimators are most efficient( means have least std error)among all available methods.
Thanks

 

[ps_ricky_son]

oic~~thx again that means given the assumption of linear regression and linearity, ols are BLUE and most efficient~~ many thx

 

[ShaktiRathore]

Yes exactly.
Thanks

 

[ps_ricky_son]