Theorem of de Moivre?Laplace

In probability theory, the theorem of de Moivre?Laplace is a special case of the central limit theorem. It states that the binomial distribution of the number of "successes" in n independent Bernoulli trials with probability 1/2 of success on each trial is approximately a normal distribution if n is large, or, more precisely, that after standardizing, the probabilities converge to those assigned by the standard normal distribution.

Related Topics:
Probability theory - Central limit theorem - Binomial distribution - Independent - Bernoulli trial - Normal distribution

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The theorem first appeared in The Doctrine of Chances by Abraham de Moivre, published in 1733. The "Bernoulli trials" were not so-called in that book, but rather de Moivre wrote about the probability distribution of the number of times "heads" appears when a coin is tossed 1800 times.

Related Topics:
The Doctrine of Chances - Abraham de Moivre

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