law of large numbers

law of large numbers

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.

Origin:
1935–40

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Collins
World English Dictionary
law of large numbers
 
n
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 10th Edition
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American Heritage
Medical Dictionary

law of large numbers n.
The rule or theorem that a large number of items chosen at random from a population will, on the average, have the characteristics of the population. Also called Bernoulli's law.

The American Heritage® Stedman's Medical Dictionary
Copyright © 2002, 2001, 1995 by Houghton Mifflin Company. Published by Houghton Mifflin Company.
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American Heritage
Science Dictionary
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 © 2002. Published by Houghton Mifflin. All rights reserved.
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Encyclopedia Britannica
Encyclopedia

law of large numbers

in statistics, the theorem that, as the number of identically distributed, randomly generated variables increases, their sample mean (average) approaches their theoretical mean.

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Encyclopedia Britannica, 2008. Encyclopedia Britannica Online.
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