# RtoDPQ.d

From distr v2.3.1
by Peter Ruckdeschel

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

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

- Keywords
- distribution, arith, math

##### 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.

##### concept

- random sample
- image distribution
- discrete distribution
- utility

##### See Also

##### Examples

```
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
x$dfun(4)
RtoDPQ(r = rn2, e = 5, n = 1024) # for a better result
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
```

*Documentation reproduced from package distr, version 2.3.1, License: LGPL-3*

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