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

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 2.9.3 Index]