# flat.mix

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

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

- Keywords
- distribution, arith

##### Usage

`flat.mix(object)`

##### Arguments

- object
- object of class
`UnivariateMixingDistribution`

##### 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.

##### concept

- random sample
- image distribution
- absolutely continuous distribution
- utility

##### See Also

##### 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)
```

*Documentation reproduced from package distr, version 2.6, License: LGPL-3*