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Slika - Shrani.si

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A. Juriˇ<strong>si</strong>ć in V. Batagelj: Verjetnostni račun in statistika 238<br />

✬<br />

Slučajna spremenljivka<br />

✫<br />

E(X|Y ) :<br />

⎛<br />

⎝ E(X|y1)<br />

⎞<br />

E(X|y2) · · ·<br />

⎠<br />

q1 q2 · · ·<br />

ima enako matematično upanje kot spremenljivka X:<br />

E(E(X|Y )) =<br />

=<br />

∞<br />

qkE(X|yk) =<br />

k=1<br />

∞<br />

i=1<br />

xi<br />

∞<br />

k=1<br />

pik =<br />

∞<br />

k=1<br />

∞<br />

i=1<br />

xipik<br />

∞<br />

xipi = EX.<br />

Univerza v Ljubljani ▲<br />

❙ ▲<br />

▲<br />

i=1<br />

● ❙ ▲<br />

▲<br />

☛ ✖<br />

▲<br />

✩<br />

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