Video: Chebyshev lub theorem yog dab tsi?
2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36
Chebyshev's Theorem yog qhov tseeb uas siv tau rau tag nrho cov ntaub ntawv tau teev tseg. Nws piav qhia txog qhov tsawg kawg nkaus ntawm cov kev ntsuas uas dag yuav tsum nyob rau hauv ib, ob, los yog ntau tshaj tus qauv sib txawv ntawm qhov txhais tau tias.
Ib sab ntawm qhov no, Chebyshev's theorem formula yog dab tsi?
Chebyshev's theorem xeev rau ib qho k> 1, tsawg kawg yog 1-1 / k2 ntawm cov ntaub ntawv nyob rau hauv k standard deviations ntawm qhov nruab nrab. Raws li tau hais, tus nqi ntawm k yuav tsum ntau dua 1. Siv qhov no qauv thiab ntsaws rau hauv tus nqi 2, peb tau txais txiaj ntsig ntawm 1-1/22, uas yog sib npaug li 75%.
Ib yam li ntawd, vim li cas Chebyshev lub theorem tseem ceeb? Txoj cai feem ntau hu ua Chebyshev's theorem , hais txog qhov sib txawv ntawm cov qauv sib txawv nyob ib ncig ntawm qhov nruab nrab, hauv kev txheeb cais. Qhov tsis sib xws muaj txiaj ntsig zoo vim tias nws tuaj yeem siv tau rau txhua qhov kev faib tawm uas qhov nruab nrab thiab qhov sib txawv tau txhais. Piv txwv li, nws tuaj yeem siv los ua pov thawj txoj cai tsis muaj zog ntawm cov lej loj.
Cia li xav txog qhov no, Chebyshev lub theorem yog dab tsi thiab nws siv li cas?
Chebyshev's theorem yog siv txhawm rau nrhiav qhov kev faib ua feem ntawm kev soj ntsuam koj xav kom pom nyob rau hauv ob qho kev sib txawv ntawm qhov nruab nrab. Chebyshev cov Interval yog hais txog cov ntu uas koj xav pom thaum siv lub theorem . Piv txwv li, koj lub sijhawm yuav yog los ntawm -2 mus rau 2 tus qauv sib txawv ntawm qhov nruab nrab.
K sawv cev rau dab tsi hauv kev txheeb cais?
K - txheeb cais . Los ntawm Wikipedia, dawb encyclopedia. Hauv txheeb cais , a k - txheeb cais yog qhov tsawg kawg nkaus-variance unbiased kwv yees ntawm ib tug cumulant.
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