flat.mix {distr} | R Documentation |

## Default procedure to fill slots d,p,q given r for Lebesgue decomposed distributions

### Description

function to do get empirical density, cumulative distribution and quantile function from random numbers

### Usage

```
flat.mix(object)
```

### Arguments

`object` |
object of class |

### Details

flat.mix generates `10^e`

random numbers, by default

`e = RtoDPQ.e`

.
Replicates are assumed to be part of the discrete part, unique values to be
part of the a.c. part of the distribution. For the replicated ones,
we generate a discrete distribution by a call to `DiscreteDistribution`

.
The a.c. density is formed on the basis of `n`

points using approxfun and density (applied to the unique values), by default

`n = DefaultNrGridPoints`

.
The cumulative distribution function is based on all random variables,
and, as well as the quantile function, is also created on the basis of `n`

points using
`approxfun`

and `ecdf`

. Of course, the results are usually not exact as they rely on random numbers.

### Value

`flat.mix`

returns an object of class `UnivarLebDecDistribution`

.

### Note

Use `RtoDPQ`

for absolutely continuous and `RtoDPQ.d`

for discrete distributions.

### Author(s)

Peter Ruckdeschel peter.ruckdeschel@uni-oldenburg.de

### See Also

`UnivariateDistribution-class`

,
`density`

,
`approxfun`

,
`ecdf`

### Examples

```
D1 <- Norm()
D2 <- Pois(1)
D3 <- Binom(1,.4)
D4 <- UnivarMixingDistribution(D1,D2,D3, mixCoeff = c(0.4,0.5,0.1),
withSimplify = FALSE)
D <- UnivarMixingDistribution(D1,D4,D1,D2, mixCoeff = c(0.4,0.3,0.1,0.2),
withSimplify = FALSE)
D
D0<-flat.mix(D)
D0
plot(D0)
```

*distr*version 2.9.3 Index]