Arcsine laws (Wiener process)
Collection of results for one-dimensional random walks and Brownian motion / From Wikipedia, the free encyclopedia
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In probability theory, the arcsine laws are a collection of results for one-dimensional random walks and Brownian motion (the Wiener process). The best known of these is attributed to Paul Lévy (1939).
All three laws relate path properties of the Wiener process to the arcsine distribution. A random variable X on [0,1] is arcsine-distributed if