# DExp-class

From distr v2.3.1
by Peter Ruckdeschel

##### Class "DExp"

The double exponential or Laplace distribution with rate $\lambda$ has density
$$f(x) = \frac{1}{2}\lambda {e}^{- \lambda |x|}$$
C.f. `Exp-class`

, `rexp`

- Keywords
- distribution

##### Objects from the Class

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

.
This object is a double exponential (or Laplace) distribution.

##### Extends

Class `"AbscontDistribution"`

, directly.
Class `"UnivariateDistribution"`

, by class `"AbscontDistribution"`

.
Class `"Distribution"`

, by class `"AbscontDistribution"`

.

##### concept

- absolutely continuous distribution
- Double exponential distribution
- Laplace distribution
- S4 distribution class
- generating function

##### See Also

`Exp-class`

`ExpParameter-class`

`AbscontDistribution-class`

`Reals-class`

`rexp`

##### Examples

```
D <- DExp(rate = 1) # D is a Laplace distribution with rate = 1.
r(D)(1) # one random number generated from this distribution, e.g. 0.4190765
d(D)(1) # Density of this distribution is 0.1839397 for x = 1.
p(D)(1) # Probability that x < 1 is 0.8160603.
q(D)(.1) # Probability that x < -1.609438 is 0.1.
rate(D) # rate of this distribution is 1.
rate(D) <- 2 # rate of this distribution is now 2.
3*D ### still a DExp -distribution
```

*Documentation reproduced from package distr, version 2.3.1, License: LGPL-3*

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