R: Default procedure to fill slots d,p,q given r for Lebesgue...

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 `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.

### 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)

[Package distr version 2.8.0 Index]