Arcsine-class {distr}R Documentation

Class "Arcsine"

Description

The Arcsine distribution has density

1/sqrt(1+x^2)/pi

for -1 <= x <= 1.

Objects from the Class

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

Slots

img:
Object of class "Reals": The space of the image of this distribution has got dimension 1 and the name "Real Space".
r:
Object of class "function": generates random numbers (calls function rArcsine)
d:
Object of class "function": density function (calls function dArcsine)
p:
Object of class "function": cumulative function (calls function pArcsine)
q:
Object of class "function": inverse of the cumulative function (calls function qArcsine)

Extends

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

Methods

initialize
signature(.Object = "Arcsine"): initialize method

Author(s)

Peter Ruckdeschel Peter.Ruckdeschel@itwm.fraunhofer.de

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).

[Package distr version 2.0.6 Index]