Produces the family of d/p/q/r functions associated with a custom one-dimensional distribution function; similarly to the standard families dnorm/pnorm/qnorm/rnorm, dunif/punif/...
Usage
dpqr(fun, min, max)
Value
Returns a list of items:
d(x)
Probability distribution function (PDF), i.e. a normalised version of fun, limited to the domain [xmin,xmax].
p(x)
Cumulative distributiont function, defined as the integrated PDF up to x.
q(p)
Quantile function, returning the position x, at which the cumulative probability equals p.
r(n)
A vector of n random numbers drawn from the PDF.
Arguments
fun
distribution function of a single variable; does not have to be normalized
min, max
domain of distribution function; outside this domain fun will be considered equal to 0. In practice, this should be the most restrictive domain containing (almost) all the mass of fun.