# law of large numbers

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## law of large numbers

*n.*

See law of averages.

American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

## law of large numbers

*n*

(Statistics) 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 probabilityCollins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

## law′ of large′ num′bers

*n.*

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.

[1935–40]

Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.

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Noun | 1. | law of large numbers - (statistics) law stating that a large number of items taken at random from a population will (on the average) have the population statisticslaw of nature, law - a generalization that describes recurring facts or events in nature; "the laws of thermodynamics" statistics - a branch of applied mathematics concerned with the collection and interpretation of quantitative data and the use of probability theory to estimate population parameters |

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