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

Usage

flat.mix(object)

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.

Note

Use RtoDPQ for absolutely continuous and RtoDPQ.d for discrete distributions.

concept

• random sample
• image distribution
• absolutely continuous distribution
• utility

See Also

UnivariateDistribution-class, density, approxfun, ecdf

Aliases

• flat.mix

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)