# Arcsine-class

From distr v2.2.3
by Peter Ruckdeschel

##### Class "Arcsine"

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

- Keywords
- distribution

##### Objects from the Class

Objects can be created by calls of the form `Arcsine()`

.
This object is an Arcsine distribution.

##### Extends

Class `"AbscontDistribution"`

, directly.
Class `"UnivariateDistribution"`

, by class `"AbscontDistribution"`

.
Class `"Distribution"`

, by class `"AbscontDistribution"`

.

##### concept

- absolutely continuous distribution
- Arcsine distribution
- S4 distribution class
- generating function

##### See Also

##### 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 2.2.3, License: LGPL-3*

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