# Arcsine-class

0th

Percentile

##### Class "Arcsine"

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

Keywords
distribution
##### 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

AbscontDistribution-class Reals-class

##### Aliases
• Arcsine-class
• Arcsine
• initialize,Arcsine-method
##### 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).
Documentation reproduced from package distr, version 2.0.2, License: LGPL-3

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