Arcsine-class {distr} | R Documentation |
The Arcsine distribution has density
1/sqrt(1+x^2)/pi
for -1 <= x <= 1.
Objects can be created by calls of the form Arcsine()
.
This object is an Arcsine distribution.
img
:"Reals"
:
The space of the image of this distribution has got dimension 1 and the name "Real Space". r
:"function"
:
generates random numbers (calls function rArcsine)d
:"function"
:
density function (calls function dArcsine)p
:"function"
:
cumulative function (calls function pArcsine)q
:"function"
:
inverse of the cumulative function (calls function qArcsine)
Class "AbscontDistribution"
, directly.
Class "UnivariateDistribution"
, by class "AbscontDistribution"
.
Class "Distribution"
, by class "AbscontDistribution"
.
signature(.Object = "Arcsine")
:
initialize methodPeter Ruckdeschel Peter.Ruckdeschel@itwm.fraunhofer.de
AbscontDistribution-class
Reals-class
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).