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STRONG LAW OF LARGE NUMBERS

(noun)
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Definitions

There is 1 meaning of the phrase Strong Law Of Large Numbers.

Strong Law Of Large Numbers - as a noun

A version of the law of large numbers that states that the sample average converges almost surely to the expected value.

Example: "The mathematical relation between these two experiments was recognized in 1909 by the french mathematician émile borel, who used the then new ideas of measure theory to give a precise mathematical model and to formulate what is now called the strong law of large numbers for fair coin tossing."

Hypernyms (Closely Related)
bernoulli's lawlaw of large numbers
Hyponyms (Broadly Related)

Example Sentences

"The strong law of large numbers states that if a sequence of independent and identically distributed random variables has a finite mean, then the sample mean converges almost surely to the true mean."
"According to the strong law of large numbers, as the number of trials increases, the empirical probability converges to the theoretical probability."
"The strong law of large numbers is a fundamental result in probability theory."
"In gambling, the strong law of large numbers suggests that as the number of bets increases, the actual ratio of wins to total bets will converge to the expected ratio."
"The strong law of large numbers has important applications in statistics and econometrics."
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