# Beta-class

From distr v1.4
by Peter Ruckdeschel

##### Class "Beta"

The Beta distribution with parameters `shape1`

$= a$ and
`shape2`

$= b$ has density
$$f(x)=\frac{\Gamma(a+b)}{\Gamma(a)\Gamma(b)}{x}^{a} {(1-x)}^{b}$$
for $a > 0$, $b > 0$ and $0 \le x \le 1$
where the boundary values at $x=0$ or $x=1$ are defined as
by continuity (as limits).

C.f. `rbeta`

##### Objects from the Class

Objects can be created by calls of the form `Beta(shape1, shape2)`

.
This object is a beta distribution.

##### Extends

Class `"AbscontDistribution"`

, directly.
Class `"UnivariateDistribution"`

, by class `"AbscontDistribution"`

.
Class `"Distribution"`

, by class `"AbscontDistribution"`

.

##### See Also

`BetaParameter-class`

`AbscontDistribution-class`

`Reals-class`

`rbeta`

##### Examples

```
B <- Beta(shape1 = 1, shape2 = 1)
# B is a beta distribution with shape1 = 1 and shape2 = 1.
r(B)(1) # one random number generated from this distribution, e.g. 0.6979795
d(B)(1) # Density of this distribution is 1 for x=1.
p(B)(1) # Probability that x < 1 is 1.
q(B)(.1) # Probability that x < 0.1 is 0.1.
shape1(B) # shape1 of this distribution is 1.
shape1(B) <- 2 # shape1 of this distribution is now 2.
```

*Documentation reproduced from package distr, version 1.4, License: GPL (version 2 or later)*

### Community examples

Looks like there are no examples yet.