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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
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
The American Heritage® Science Dictionary Copyright © 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.
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