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Slika - Shrani.si

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A. Juriˇ<strong>si</strong>ć in V. Batagelj: Verjetnostni račun in statistika 113<br />

✬<br />

✫<br />

. . . Ak<strong>si</strong>omi Kolmogorova<br />

Naj bo D σ-algebra v G. Verjetnost na G je preslikava P : D → R z<br />

lastnostmi:<br />

1. P (A) ≥ 0,<br />

2. P (G) = 1,<br />

3. Če so dogodki Ai, i ∈ I paroma nezdruˇzljivi, je<br />

<br />

<br />

<br />

P = <br />

P (Ai).<br />

i∈I<br />

Ai<br />

i∈I<br />

Trojica (G, D, P ) določa verjetnostni prostor.<br />

Iz teh treh ak<strong>si</strong>omov lahko izpeljemo vse ostale lastnosti verjetnosti<br />

(Hladnik, str. 12).<br />

Univerza v Ljubljani ▲<br />

❙ ▲<br />

▲<br />

▲<br />

● ❙ ▲<br />

▲<br />

☛ ✖<br />

✩<br />

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