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  • In probability theory, the arcsine distribution is the probability distribution whose cumulative distribution function is for 0 ≤ x ≤ 1, and whose probability density function is on . The standard arcsine distribution is a special case of the beta distribution with α = β = 1/2. That is, if is the standard arcsine distribution then The arcsine distribution appears in the Lévy arcsine law; in the Erdős arcsine law; as the Jeffreys prior for the probability of success of a Bernoulli trial.

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