Chebyshev qhov tsis sib xws hais li cas?
Chebyshev qhov tsis sib xws hais li cas?

Video: Chebyshev qhov tsis sib xws hais li cas?

Video: Chebyshev qhov tsis sib xws hais li cas?
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Chebyshev qhov tsis sib xws hais tias uas tsawg kawg yog 1-1 / K2 ntawm cov ntaub ntawv los ntawm tus qauv yuav tsum poob hauv K tus qauv sib txawv ntawm qhov nruab nrab (ntawm no K yog ib tus lej tiag tiag ntau dua ib qho). Tab sis yog cov ntaub ntawv teev yog tsis muab faib rau hauv cov duab ntawm lub tswb nkhaus, ces tus nqi sib txawv tuaj yeem nyob hauv ib qho qauv sib txawv.

Raws li txoj cai, Chebyshev qhov tsis sib xws ntsuas yog dab tsi?

Chebyshev qhov tsis sib xws (tseem hu ua Tchebysheff's kev tsis sib xws ) yog a ntsuas ntawm qhov kev ncua deb ntawm qhov nruab nrab ntawm ib qho random cov ntaub ntawv taw tes hauv ib txheej, qhia raws li qhov tshwm sim. Nws hais tias rau cov ntaub ntawv teeb tsa nrog qhov sib txawv tsis tu ncua, qhov tshwm sim ntawm cov ntaub ntawv taw qhia nyob hauv k tus qauv sib txawv ntawm qhov nruab nrab yog 1 / k2.

Tsis tas li ntawd, 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%.

Khaws qhov no hauv kev xav, koj ua pov thawj Chebyshev qhov tsis sib xws li cas?

Ib txoj kev los ua pov thawj Chebyshev qhov tsis sib xws yog siv Markov's kev tsis sib xws mus rau random variable Y = (X − Μ)2 nrog a = (kσ)2. Chebyshev qhov tsis sib xws ces ua raws li kev faib los ntawm k2σ2.

Chebyshev's 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.

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