Bayesn.

/beɪz/

Etymology: < the name of Thomas Bayes (1702–61), English mathematician.

Mathematics.

Used attributively and in the possessive to designate concepts relating to inverse probability, esp. Bayes' theorem n. a theorem expressing the probability of one of a number of mutually exclusive events H_i, given some other event E, in terms of the probabilities of all the H_i independently of E and the probabilities of E given each H_i.

ΘΚΠ

the world > relative properties > number > probability or statistics > [adjective] > relating to probability

Bayes1865

momentless1946

Bayesian1956

the world > relative properties > number > probability or statistics > [noun] > probability > theoretical approach to

law of large numbers1837

Bayes' theorem1865

law of averages1875

probability theory1908

renewal theory1915

Bayesianism1976

1865 I. Todhunter Hist. Math. Theory Probability xiv. 299 Lubbock and Drinkwater think that Bayes, or perhaps rather Price, confounded the probability given by Bayes's theorem with the probability given by the result just taken from Laplace.

1907 London, Edinb. & Dublin Philos. Mag. 6th Ser. 13 366 I assume the truth of Bayes' theorem.

1922 R. A. Fisher in Philos. Trans. (Royal Soc.) A. 222 324 The result, the datum, and the postulate implied by the scholium, have all been somewhat loosely spoken of as Bayes' Theorem.

1943 M. G. Kendall Adv. Theory Statistics I. vii. 179 A further difficulty arises if θ can lie in an infinite range, for then Bayes' postulate apparently leads to the conclusion that prior probabilities in any finite range are zero and hence so are posterior probabilities.

1967 E. U. Condon & H. Odishaw Handbk. Physics (ed. 2) i. xii. 164/2 Bayes' theorem is the cornerstone of inverse probability, a precise form of inductive inference that seeks to reason from observed events to the probabilities of the various hypotheses that may explain them.

1970 Nature 12 Sept. 1172/2 Empirical Bayes methods have been hailed as one of the major advances in modern statistics.

1985 Brit. Med. Jrnl. 9 Nov. 1354/1 Using Bayes' theorem..more extensive information of this kind will enable us to make confident clinical diagnoses in sore throats.

1988 Nature 7 Apr. 496/2 A probabilistic argument based on the table leads to a likelihood ratio or Bayes factor of 100 in favour of the hypothesis H without even allowing for the elegance of the integers.

This entry has not yet been fully updated (first published 1993; most recently modified version published online September 2018).

单词	bayes
释义	Bayesn. /beɪz/ Etymology: < the name of Thomas Bayes (1702–61), English mathematician. Mathematics. Used attributively and in the possessive to designate concepts relating to inverse probability, esp. Bayes' theorem n. a theorem expressing the probability of one of a number of mutually exclusive events H_i, given some other event E, in terms of the probabilities of all the H_i independently of E and the probabilities of E given each H_i. ΘΚΠ the world > relative properties > number > probability or statistics > [adjective] > relating to probability Bayes1865 momentless1946 Bayesian1956 the world > relative properties > number > probability or statistics > [noun] > probability > theoretical approach to law of large numbers1837 Bayes' theorem1865 law of averages1875 probability theory1908 renewal theory1915 Bayesianism1976 1865 I. Todhunter Hist. Math. Theory Probability xiv. 299 Lubbock and Drinkwater think that Bayes, or perhaps rather Price, confounded the probability given by Bayes's theorem with the probability given by the result just taken from Laplace. 1907 London, Edinb. & Dublin Philos. Mag. 6th Ser. 13 366 I assume the truth of Bayes' theorem. 1922 R. A. Fisher in Philos. Trans. (Royal Soc.) A. 222 324 The result, the datum, and the postulate implied by the scholium, have all been somewhat loosely spoken of as Bayes' Theorem. 1943 M. G. Kendall Adv. Theory Statistics I. vii. 179 A further difficulty arises if θ can lie in an infinite range, for then Bayes' postulate apparently leads to the conclusion that prior probabilities in any finite range are zero and hence so are posterior probabilities. 1967 E. U. Condon & H. Odishaw Handbk. Physics (ed. 2) i. xii. 164/2 Bayes' theorem is the cornerstone of inverse probability, a precise form of inductive inference that seeks to reason from observed events to the probabilities of the various hypotheses that may explain them. 1970 Nature 12 Sept. 1172/2 Empirical Bayes methods have been hailed as one of the major advances in modern statistics. 1985 Brit. Med. Jrnl. 9 Nov. 1354/1 Using Bayes' theorem..more extensive information of this kind will enable us to make confident clinical diagnoses in sore throats. 1988 Nature 7 Apr. 496/2 A probabilistic argument based on the table leads to a likelihood ratio or Bayes factor of 100 in favour of the hypothesis H without even allowing for the elegance of the integers. This entry has not yet been fully updated (first published 1993; most recently modified version published online September 2018). < n.1865
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