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.

Nearby words

  1. law of heart,
  2. law of identity,
  3. law of independent assortment,
  4. law of inertia,
  5. law of inverse square,
  6. law of mass action,
  7. law of moses,
  8. law of motion,
  9. law of multiple proportion,
  10. law of nations

Origin of law of large numbers

First recorded in 1935–40 Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2019

British Dictionary definitions for law of large numbers

law of large numbers


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

Medicine definitions for law of large numbers

law of large numbers


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.Bernoulli's law

The American Heritage® Stedman's Medical Dictionary Copyright © 2002, 2001, 1995 by Houghton Mifflin Company. Published by Houghton Mifflin Company.

Science 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.