Likelihood
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Dina statistik, fungsi likelihood mangrupa fungsi conditional probabilitas dumasar kana "pertimbangan" fungsi alesan kadua nu mana fungsi mimiti dianggap angger, ahirna:
salian ti éta fungsi séjén proporsional saperti halna fungsi likelihood. ku sabab kitu, fungsi likelihood keur B mangrupa kelas ékivalénsi tina fungsi
keur unggal babandingan konstanta α > 0. Mangka nilai numerik L(b) teu bisa dijéntrékeun; sakabéh nu aya bakal mibanda babandingan L(b2)/L(b1), ku sabab ieu konstanta bakal gumantung kana babandingan konstanta tadi.
Likelihood nyaéta istilah nu dipaké keur fungsi likelihood. Dina basa nu ilahat dipaké sapopoe, "likelihood" nyaéta salah sahiji harti nu sarua keur istilah "probability", tapi dina artikel ieu bakal ngagunakeun dina harti sacara téhnik.
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Artikel ieu keur dikeureuyeuh, ditarjamahkeun tina basa Inggris. Bantuanna didagoan pikeun narjamahkeun. |
In a sense, likelihood works backwards from probability: given B, we use the conditional probability P(A | B) to réason about A, and, given A, we use the likelihood function P(A | B) to réason about B. This mode of réasoning is formalized in Bayes' theorem; note the appéarance of a likelihood function for B given A in:
since, as functions of B, both P(A|B) and P(A|B)/P(A) are likelihood functions for B given A.
For more about making inferences via likelihood functions, see also the method of maximum likelihood, and likelihood-ratio testing.