RtoDPQ.d {distr}

Default procedure to fill slots d,p,q given r for discrete distributions

Description

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

Usage

RtoDPQ.d(r, e = getdistrOption("RtoDPQ.e"))

Arguments

r

the random number generator

e

10^e numbers are generated, a higher number leads to a better result.

Details

RtoDPQ.d generates 10^e random numbers, by default e = RtoDPQ.e which are used to produce a density, cdf and quantile function. Of course, the results are usually not exact as they rely on random numbers.

Value

RtoDPQ returns a list of functions.

dfun

density

pfun

cumulative distribution function

qfun

quantile function

Note

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

Author(s)

Thomas Stabla [e-mail],
Florian Camphausen [e-mail],
Peter Ruckdeschel [e-mail],
Matthias Kohl [e-mail]

See Also

UnivariateDistribution-class, density, approxfun, ecdf

Examples

set.seed(20230508)
rn2 <- function(n){rnorm(n)^2}
x <- RtoDPQ(r = rn2, e = 4, n = 512)
# returns density, cumulative distribution and quantile function of
# squared standard  normal distribution
## IGNORE_RDIFF_BEGIN
x$dfun(4)
RtoDPQ(r = rn2, e = 5, n = 1024) # for a better result
## IGNORE_RDIFF_END
rp2 <- function(n){rpois(n, lambda = 1)^2}
x <- RtoDPQ.d(r = rp2, e = 5)
# returns density, cumulative distribution and quantile function of
# squared Poisson distribution with parameter lambda=1