| 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).withArith:.withSim:.logExact:.lowerExact:
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).