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értekezés - Budapesti Corvinus Egyetem

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Contr (k) =<br />

N<br />

∑<br />

⎡<br />

⎢<br />

⎣<br />

M<br />

k k l l<br />

( xi<br />

− x ) ∑( xi<br />

− x )<br />

i= 1 l=<br />

1<br />

= M N<br />

⎡<br />

∑∑⎢<br />

j= 1 i= 1 l=<br />

1<br />

⎣<br />

⎤<br />

⎥<br />

⎦<br />

⎤<br />

⎥<br />

⎦<br />

M<br />

j j l l<br />

( xi<br />

− x ) ∑( xi<br />

− x )<br />

N M<br />

k k j j<br />

∑∑( xi<br />

− x )( xi<br />

− x )<br />

i= 1 j=<br />

1<br />

= M<br />

N M<br />

l l j j<br />

∑∑∑( x − x )( x − x )<br />

i<br />

i<br />

l= 1 i= 1 j=<br />

1<br />

M<br />

∑<br />

1<br />

N<br />

j= 1 i=<br />

1<br />

= M<br />

N<br />

k k j j<br />

∑( xi<br />

− x )( xi<br />

− x )<br />

M N<br />

1 l l j j<br />

∑∑ ∑( x − x )( x − x )<br />

i<br />

i<br />

N<br />

l= 1 j= 1 i=<br />

1<br />

M<br />

∑<br />

j=<br />

1<br />

= M M<br />

∑∑<br />

l= 1 j=<br />

1<br />

Cov<br />

Cov<br />

k j<br />

( x , x )<br />

l j<br />

( x , x )<br />

189

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