Arcsine distribution

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 (0, 1). The standard arcsine distribution is a special case of the beta distribution with α = β = 1/2. That is, if $X$ is the standard arcsine distribution then $X \sim {\rm Beta}(\tfrac{1}{2},\tfrac{1}{2}) \$

单词	Arcsine distribution
释义	Arcsine distribution 英语百科 Arcsine distribution 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 (0, 1). The standard arcsine distribution is a special case of the beta distribution with α = β = 1/2. That is, if $X$ is the standard arcsine distribution then $X \sim {\rm Beta}(\tfrac{1}{2},\tfrac{1}{2}) \$
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