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law of large numbers
law of large numbersn. See law of averages.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 probability 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] Thesaurus| 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 statisticsBernoulli's lawlaw 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 |
law of large numbers
law of large numbers[′lȯ əv ¦lärj ′nəm·bərz] (statistics) The law that if, in a collection of independent identical experiments, N (B) represents the number of occurrences of an event B in n trials, and p is the probability that B occurs at any given trial, then for large enough n it is unlikely that N (B)/ n differs from p by very much. Also known as Bernoulli theorem. law of large numbers
law of large numbersn. 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.law of large numbers
Law of large numbersThe mean of a random sample approaches the mean (expected value) of the population as sample size increases.Law of Large NumbersA mathematical theory that states that the statistical likelihood of a sample having a certain value approaches the statistical likelihood of the whole universe of samples as the sample becomes larger. For example, this is the reason political polls tend to be more accurate the larger they are. This is also called Bernoulli's Law.law of large numbers the law that states that large groups tend to behave more uniformly than a single individual. For example, an individual consumer might buy more of a product the price of which has risen, whereas most consumers would buy less. See DEMAND CURVE.See LOLN
See LLNlaw of large numbers
Synonyms for law of large numbersnoun (statistics) law stating that a large number of items taken at random from a population will (on the average) have the population statisticsSynonymsRelated Words- law of nature
- law
- statistics
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