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the law of large numbers

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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 (statistics) law stating that a large number of items taken at random from a population will (on the average) have the population statistics • Syn: ↑Bernoulli s law • Topics: ↑statistics • Hypernyms: ↑law, ↑ …   Useful english dictionary

  • law of large numbers — law′ of large′ num′bers n. 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 •… …   From formal English to slang

  • 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

  • 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

  • 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

  • law of large numbers — The mean of a random sample approaches the mean ( expected value) of the population as sample size increases. Bloomberg Financial Dictionary …   Financial and business terms

  • Law of Truly Large Numbers — The Law of Truly Large Numbers, attributed to Persi Diaconis and Frederick Mosteller, states that with a sample size large enough, any outrageous thing is likely to happen. It seeks to debunk one element of supposed supernatural… …   Wikipedia

  • 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

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