Class "Arcsine"
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.
imgObject of class "Reals":
The space of the image of this distribution has got dimension 1 and the name "Real Space".
rObject of class "function":
generates random numbers (calls function rArcsine)
dObject of class "function":
density function (calls function dArcsine)
pObject of class "function":
cumulative function (calls function pArcsine)
qObject of class "function":
inverse of the cumulative function (calls function qArcsine)
.withArithlogical: used internally to issue warnings as to interpretation of arithmetics
.withSimlogical: used internally to issue warnings as to accuracy
.logExactlogical: used internally to flag the case where there are explicit formulae for the log version of density, cdf, and quantile function
.lowerExactlogical: used internally to flag the case where there are explicit formulae for the lower tail version of cdf and quantile function
Symmetryobject of class "DistributionSymmetry";
used internally to avoid unnecessary calculations.
Class "AbscontDistribution", directly.
Class "UnivariateDistribution", by class "AbscontDistribution".
Class "Distribution", by class "AbscontDistribution".
signature(.Object = "Arcsine"):
initialize method
Peter Ruckdeschel peter.ruckdeschel@uni-oldenburg.de
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). ## in RStudio or Jupyter IRKernel, use q.l(A)(c(0,0.2,1,2)) instead
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