| 单词 | law of large numbers |
| 释义 | > as lemmaslaw of large numbers P5. law of large numbers [after French loi des grands nombres (S. D. Poisson 1835, in Comptes rendus hebd. de l'Acad. des Sci. 1 478)] (Statistics): A law expressing the fact that if a trial in which all outcomes are independent of each other and equally likely is repeated, then the relative frequency of each outcome approximates its probability with increasing accuracy as the number of repetitions becomes sufficiently large. ΘΚΠ 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 1837 London Med. Gaz. 3 June 362/1 The universal law of large numbers, is the rule and the foundation of all calculations of probabilities. 1889 Jrnl. Royal Statist. Soc. 52 539 The advantage of what has been called the law of large numbers may equally be enjoyed by a theory which deals with markets and combinations. 1937 J. V. Uspensky Introd. Math. Probability x. 182 A far reaching generalization of Bernoulli's theorem, known under the name of the ‘law of large numbers’. 1970 Tucson (Arizona) Daily Citizen 1 May 25 Insurance companies can protect people because they follow a rule known as the law of large numbers. 2003 Isis 94 550/1 To Chebyshev we owe proofs of the law of large numbers..of probability/statistics in general form. < as lemmas |
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