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Regressione lineare semplice: inferenza - Economia

Regressione lineare semplice: inferenza - Economia

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Teorema di Gauss-Markov<br />

Distribuzione della statistica t<br />

ˆβ1 − β1,0<br />

t = <br />

= <br />

s2 u<br />

n<br />

i=1 (Xi− ¯ X) 2<br />

ˆβ1 − β1,0<br />

s2 u<br />

n<br />

i=1 (Xi− ¯ X) 2<br />

σ2 u<br />

σ2 u<br />

ˆβ1 − β1,0<br />

= <br />

σ2 u<br />

n<br />

i=1 (Xi− ¯ X) 2<br />

/<br />

<br />

= <br />

s2 u<br />

σ2 u<br />

= ( ˆ β1 − β1,0)/σβ1|X ˆ<br />

, W =<br />

W/(n − 2)<br />

ˆβ1 − β1,0<br />

σ2 u<br />

n<br />

i=1 (Xi− ¯ X) 2<br />

<br />

s2 u<br />

σ2 u<br />

n<br />

û 2 i<br />

σ<br />

i=1<br />

2 u<br />

Rossi <strong>Regressione</strong> <strong>lineare</strong> <strong>semplice</strong> Econometria - 2013 56 / 60

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