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Slika - Shrani.si

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A. Juriˇ<strong>si</strong>ć in V. Batagelj: Verjetnostni račun in statistika 334<br />

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. . . Fisherjeva porazdelitev<br />

Po zakonu F (m − 1, n − 1) je na primer porazdeljena statistika<br />

saj vemo, da sta spremenljivki<br />

F = S2 X /σ2 X<br />

S 2 Y /σ2 Y<br />

U = (m − 1)S 2 X/σ 2 X in V = (n − 1)S 2 Y /σ 2 Y<br />

porazdeljeni po χ 2 z m − 1 oziroma n − 1 prostostnimi stopnjami<br />

in sta neodvisni.<br />

Velja ˇse:<br />

če je U : F (m, n), je 1/U : F (n, m),<br />

če je U : S(n), je U 2 : F (1, n).<br />

Univerza v Ljubljani ▲<br />

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