Definition of Law of large numbers

1. Noun. (statistics) law stating that a large number of items taken at random from a population will (on the average) have the population statistics.

Exact synonyms: Bernoulli's Law
Generic synonyms: Law, Law Of Nature
Category relationships: Statistics

Definition of Law of large numbers

1. Noun. (statistics) The statistical tendency toward a fixed ratio in the results when an experiment is repeated a large number of times; law of averages. ¹

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Lexicographical Neighbors of Law Of Large Numbers

law of definite proportions
law of denervation
law of diminishing marginal utility
law of diminishing returns
law of double negation
law of effect
law of equal areas
law of equivalent proportions
law of excitation
law of excluded middle
law of gravitation
law of initial value
law of intestine
law of isochronism
law of large numbers (current term)
law of motion
law of multiple proportions
law of nations
law of nature
law of parsimony
law of partial pressures
law of polar excitation
law of priority
law of proximity
law of recapitulation
law of reciprocal proportions
law of referred pain
law of refraction

Literary usage of Law of large numbers

Below you will find example usage of this term as found in modern and/or classical literature:

1. The Mathematical theory of probabilities and its application to frequency by Arne Fisher (1922)
"THE law of large numbers. 51. A Priori and Empirical Probabilities. ... This relation is established by means of the famous Law of Large Numbers " (AA ..."

2. Theory of Observations by Thorvald Nicolai Thiele (1903)
"From this point of view then the law of large numbers has the character of a belief. There is in all external conditions such a harmony with human thought ..."

3. Empirical Processes: Theory and Applications by David Pollard (1990)
"This section will present both a uniform weak law of large numbers (convergence in probability) and a uniform strong law of large numbers (convergence ..."

4. History, Theory, and Technique of Statistics by August Meitzen (1891)
"They are the so-called law of large numbers and the so-called regularity of seemingly voluntary actions. ยง 84. THE SO-CALLED law of large numbers. ..."

5. The New International Encyclopaedia edited by Daniel Coit Gilman, Harry Thurston Peck, Frank Moore Colby (1906)
"It is this 'law of large numbers.' or the permanence of numerical relations in social life, that makes it possible to describe human societies with accuracy ..."

6. Statistics, Probability, and Game Theory: Papers in Honor of David Blackwell by David Blackwell, Thomas Shelburne Ferguson, Lloyd S. Shapley, James B. MacQueen (1996)
"But we have seen that, according to von Mises, limiting relative frequencies in Kollektivs do not owe their existence to the law of large numbers. ..."

7. The American Journal of the Medical Sciences by Southern Society for Clinical Investigation (U.S.) (1837)
""What is called in geometry the universal law of large numbers, is the rule and the foundation of all calculations of probabilities. ..."

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