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O PROCESSO GAUSSIANO

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2. VETORES RANDÔMICOS <strong>GAUSSIANO</strong>S<br />

Transformação Linear - Função Densidade Prob. de Y<br />

f<br />

x<br />

1<br />

Expandindo,<br />

= ⎡<br />

⎤<br />

⎢ ∑ n<br />

∑<br />

n<br />

1<br />

1<br />

, x ,..., x<br />

(x<br />

Λ x<br />

j<br />

− m<br />

j<br />

xk<br />

− m<br />

jk<br />

k ⎥<br />

n 1,<br />

x<br />

2<br />

,..., x<br />

n<br />

)<br />

exp -<br />

( )( )<br />

2<br />

n 2 1 2<br />

(2π<br />

) Λ<br />

⎣ 2 Λ j = 1 k = 1<br />

⎦<br />

Onde: |Λ| jk é o cofator do elemento λ jk no determinante |Λ| da<br />

matriz de covariâncias.

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