law of large numbers

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noun Mathematics.

the theorem in probability theory that the number of successes increases as the number of experiments increases and approximates the probability times the number of experiments for a large number of experiments.

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Origin of law of large numbers

First recorded in 1935–40

Words nearby law of large numbers

law of exponents, law of gravitation, law of identity, law of independent assortment, law of inertia, law of large numbers, law of mass action, Law of Moses, law of motion, law of multiple proportion, law of nations

Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2023

British Dictionary definitions for law of large numbers

law of large numbers

noun

the fundamental statistical result that the average of a sequence of n identically distributed independent random variables tends to their common mean as n tends to infinity, whence the frequency of the occurrence of an event in n independent repetitions of an experiment tends to its probability

Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

Scientific definitions for law of large numbers

law of large numbers

The rule or theorem that the average of a large number of independent measurements of a random quantity tends toward the theoretical average of that quantity. Also called Bernoulli's law