Density, distribution function and random generation for the ArcSin distribution.
dasin(x, log=FALSE)
pasin(q, lower.tail=TRUE, log.p=FALSE)
rasin(n)dasin gives the density, pasin gives the distribution function, and rasin generates random deviates. The length of the result is determined by n for rasin, and is the maximum of the lengths of the numerical arguments for the other functions. The numerical arguments other than n are recycled to the length of the result. Only the first elements of the logical arguments are used.
vector of quantiles.
number of observations. If length(n) > 1, the length is taken to be the number required.
logical; if TRUE, probabilities p are given as log(p).
logical; if TRUE (default), probabilities are \(P[X\leq x]\), otherwise, \(P[X>x]\).
Diego Gallardo
The ArcSin distribution has density $$ f(x)=\frac{1}{\pi \sqrt{x(1-x)}}, \quad x \in (0,1), $$ and cumulative distribution function $$ F(x)=\frac{2}{\pi}Arcsin(\sqrt{x}), \quad x \in (0,1). $$
Arnold, B.C. and Groeneveld, R.A. (1980). Some Properties of the Arcsine Distribution. Journal of the Ammerican Statistical Association, 75, 173-175.
dasin(0.5)
pasin(0.5)
rasin(5)
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