law of large numbers

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Law of large numbers

The mean of a random sample approaches the mean (expected value) of the population as sample size increases.

Law of Large Numbers

A 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.
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Yukich (2003), Weak laws of large numbers in geometric probability, Ann.
Wade (2007), Explicit laws of large numbers for random nearest neighbor type graphs, Adv.
To this extent von Mises' own axiom of randomness is a virtue, not a vice of his theory, enabling it to deliver the weak and other laws of large numbers without additional special hypotheses of independence and constant probability.