Arcsine-class | R Documentation |
The Arcsine distribution has density
f(x)=\frac{1}{\pi \sqrt{1-x^2}%
}
for -1 < x < 1
.
Objects can be created by calls of the form Arcsine()
.
This object is an Arcsine distribution.
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.
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
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).
## in RStudio or Jupyter IRKernel, use q.l(A)(c(0,0.2,1,2)) instead
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