# Arcsine-class

From distr v2.6
0th

Percentile

##### Class "Arcsine"

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

Keywords
distribution
##### 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)
.withArith
logical: used internally to issue warnings as to interpretation of arithmetics
.withSim
logical: used internally to issue warnings as to accuracy
.logExact
logical: used internally to flag the case where there are explicit formulae for the log version of density, cdf, and quantile function
.lowerExact
logical: used internally to flag the case where there are explicit formulae for the lower tail version of cdf and quantile function
Symmetry
object of class "DistributionSymmetry"; used internally to avoid unnecessary calculations.

##### Extends

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

##### Methods

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

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 2.6, License: LGPL-3

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