Bayes theorem hais li cas?
Bayes theorem hais li cas?

Video: Bayes theorem hais li cas?

Video: Bayes theorem hais li cas?
Video: Bayes theorem, the geometry of changing beliefs 2024, Kaum ib hlis
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Bayes' theorem ( kuj hu ua Bayes txoj cai los yog Bayes 'law) yog a tshwm sim nyob rau hauv probabil-ity theory uas hais txog tej yam tshwm sim. Yog tias A thiab B qhia txog ob qhov xwm txheej, P (A | B) qhia txog qhov xwm txheej tshwm sim ntawm A tshwm sim, muab qhov B tshwm sim.

Ntawm no, Bayes theorem qhia peb li cas?

Bayes ' theorem , muaj npe tom qab 18th-xyoo pua British mathematician Thomas Bayes , yog ib tug qauv lej rau kev txiav txim siab tej yam tshwm sim. Cov theorem muab ib txoj hauv kev los kho cov kev kwv yees uas twb muaj lawm lossis kev xav (hloov qhov yuav tshwm sim) muab pov thawj tshiab lossis ntxiv pov thawj.

Ib tug kuj nug, koj siv Bayes Theorem li cas? Cov mis yog:

  1. P(A|B) = P(A) P(B|A)P(B)
  2. P(Man|Pink) = P(txiv neej) P(Pink|Man)P(Pink)
  3. P(Man|Pink) = 0.4 × 0.1250.25 = 0.2.
  4. Ob txoj hauv kev tau txais tib qhov txiaj ntsig ntawm ss + t + u + v.
  5. P(A|B) = P(A) P(B|A)P(B)
  6. P(Allergy | Yog) = P(Allergy) P(Yog | Allergy)P(Yog)
  7. P(Allergy | Yog) = 1% × 80% 10.7% = 7.48%

Tom qab ntawd, ib tus tuaj yeem nug, Bayes theorem yog dab tsi hauv qhov tshwm sim?

Hauv qhov tshwm sim kev tshawb xav thiab kev txheeb cais, Bayes lub theorem (xws li Bayes cov law lub Bayes txoj cai ) piav txog cov qhov tshwm sim ntawm ib qho kev tshwm sim, raws li kev paub ua ntej ntawm cov xwm txheej uas yuav cuam tshuam nrog qhov xwm txheej. Hauv qhov nws hu ua scholium, Bayes txuas nws algorithm rau tej yam tsis paub ua ntej.

Bayes theorem yog dab tsi thiab sib tham txog nws cov lus qhia?

Bayes ' theorem yog a qauv uas piav qhia yuav hloov kho li cas tus Qhov tshwm sim ntawm hypotheses thaum muab pov thawj. Nws raws li yooj yim los ntawm tus axioms ntawm conditional probability, tab sis yuav siv tau rau haib vim li cas txog ntau yam teeb meem nrog rau kev ntseeg tshiab.

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