law of large numbers
Date: 1911 a theorem in mathematical statistics: the probability that the absolute value of the difference between the mean of a population sample and the mean of the population from which it is drawn is greater than an arbitrarily small amount approaches zero as the size of the sample approaches infinity

New Collegiate Dictionary. 2001.

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  • Law of large numbers — The law of large numbers (LLN) is a theorem in probability that describes the long term stability of the mean of a random variable. Given a random variable with a finite expected value, if its values are repeatedly sampled, as the number of these …   Wikipedia

  • law of large numbers — Math. 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] * * * ▪ statistics …   Universalium

  • Law Of Large Numbers — In statistical terms, a rule that assumes that as the number of samples increases, the average of these samples is likely to reach the mean of the whole population. When relating this concept to finance, it suggests that as a company grows, its… …   Investment dictionary

  • law of large numbers — noun The statistical tendency toward a fixed ratio in the results when an experiment is repeated a large number of times; law of averages …   Wiktionary

  • Law of large numbers — The mean of a random sample approaches the mean ( expected value) of the population as the sample grows. The New York Times Financial Glossary …   Financial and business terms

  • Borel's law of large numbers — Roughly speaking, Borel s law of large numbers, named after Émile Borel, states that if an experiment is repeated a large number of times, independently under identical conditions, then the proportion of times that any specified event occurs… …   Wikipedia

  • Proof of the law of large numbers — Given X 1, X 2, ... an infinite sequence of i.i.d. random variables with finite expected value E(X 1 ) = E(X 2 ) = ... = µ < ∞, we are interested in the convergence of the sample average:overline{X} n= frac1n(X 1+cdots+X n). TOC The weak… …   Wikipedia

  • numbers, law of large — See Bernoulli s theorem …   Philosophy dictionary

  • Names of large numbers — This article lists and discusses the usage and derivation of names of large numbers, together with their possible extensions. The following table lists those names of large numbers which are found in many English dictionaries and thus have a… …   Wikipedia

  • Strong Law of Small Numbers — In his humorous 1988 paper The Strong Law of Small Numbers, the mathematician Richard K. Guy makes the statement that There aren t enough small numbers to meet the many demands made of them. In other words, any given small number appears in far… …   Wikipedia

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