Check if a function is a valid bounded probability density function (PDF)

This function tests whether a given function behaves like a valid PDF by checking if it integrates to approximately 1 over the specified range and if it takes the arguments min and max.

Usage

check_dprimary(dprimary, pwindow, dprimary_args = list(), tolerance = 0.001)

Arguments

dprimary

Function to generate the probability density function (PDF) of primary event times. This function should take a value x and a pwindow parameter, and return a probability density. It should be normalized to integrate to 1 over [0, pwindow]. Defaults to a uniform distribution over [0, pwindow]. Users can provide custom functions or use helper functions like dexpgrowth for an exponential growth distribution. See primary_dists.R for examples.

pwindow

Primary event window

dprimary_args

List of additional arguments to be passed to dprimary. For example, when using dexpgrowth, you would pass list(min = 0, max = pwindow, r = 0.2) to set the minimum, maximum, and rate parameters

tolerance

The tolerance for the integral to be considered close to 1

Value

NULL. The function will stop execution with an error message if dprimary is not a valid PDF.

See also

Distribution checking functions check_pdist(), check_truncation()

Examples

check_dprimary(dunif, pwindow = 1)