distr (version 2.4)

Arcsine-class: Class "Arcsine"

Description

The Arcsine distribution has density $$f(x)=\frac{1}{\pi \sqrt{1-x^2)} }$$ for $-1 \le x \le 1$.

Objects from the Class

Objects can be created by calls of the form Arcsine(). This object is an Arcsine distribution.

Extends

Class "AbscontDistribution", directly. Class "UnivariateDistribution", by class "AbscontDistribution". Class "Distribution", by class "AbscontDistribution".

concept

• absolutely continuous distribution
• Arcsine distribution
• S4 distribution class
• generating function

See Also

AbscontDistribution-class Reals-class

Examples

A <- Arcsine()
# A is a Arcsine distribution with shape1 = 1 and shape2 = 1.
r(A)(3) # three random number generated from this distribution, e.g. 0.6979795
d(A)(c(-2,-1,-0.2,0,0.2,1,2)) # Density at x=c(-1,-0.2,0,0.2,1).
p(A)(c(-2,-1,-0.2,0,0.2,1,2)) # cdf at q=c(-1,-0.2,0,0.2,1).
q(A)(c(0,0.2,1,2)) # quantile function at at x=c(0,0.2,1).

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