gompertz()

Returns floating point numbers according to a Gompertz distribution.

Synopsis

gompertz(n, b)

Description

This function returns a variate of a Gompertz distribution. This distribution behaves according to the formula \(log(1 - (b/n) * log(random)) / b\). The two parameters are typically referred to as the shape (n) and scale (b) for the distribution.

The function returns a single value for the current agent that is consistent with the distribution. Over a large number of agents, the returned values will collectively represent the specified distribution.

Parameters

n

A numeric expression representing the shape for the distribution.

b

A numeric expression representing the scale for the distribution.

Returns

Returns a floating point number consistent with the specified distribution.

Examples

The following state will make entering agents collectively wait with a Gompertz distribution with shape \(5\) and scale \(1\)) of individual hourly wait times:

state Test {
    wait(gompertz(5, 1))
    next(Excluded)
}

See Also

bernoulli(), binomial(), cauchy(), chi_squared(), extreme_value(), fisher_f(), gamma(), lognormal(), negative_binomial(), normal(), poisson(), student_t(), uniform(), weibull()