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Regressione lineare semplice: inferenza - Economia

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Teorema di Gauss-Markov<br />

Il teorema di Gauss-Markov-Prova<br />

Pertanto,<br />

segue che<br />

σ 2 u<br />

<br />

i<br />

a 2 i = σ 2 u<br />

<br />

i<br />

â 2 i + σ 2 u<br />

<br />

i<br />

d 2 i<br />

= Var[ ˆ β1|X1, . . . , Xn] + σ 2 u<br />

n<br />

<br />

Var[ ˜ β1|X1, . . . , Xn] = σ 2 u a<br />

i=1<br />

2 i = Var[ ˆ β1|X1, . . . , Xn] + σ 2 u<br />

Var[ ˜ β1|X1, . . . , Xn] − Var[ ˆ β1|X1, . . . , Xn] = σ 2 u<br />

i<br />

d 2 i<br />

<br />

<br />

Rossi <strong>Regressione</strong> <strong>lineare</strong> <strong>semplice</strong> Econometria - 2013 43 / 60<br />

i<br />

d 2 i<br />

i<br />

d 2 i

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