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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