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 classUnivarLebDecDistribution
.
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)