MGFgamma: Evaluate the moment generating function (MGF) of the gamma...

In facilityepimath: Analyze Mathematical Models of Healthcare Facility Transmission

Evaluate the moment generating function (MGF) of the gamma distribution or a derivative of the MGF

Description

Evaluate the moment generating function (MGF) of the gamma distribution or a derivative of the MGF

Usage

MGFgamma(x, rate, shape, deriv = 0)

Arguments

x	The value at which to evaluate the MGF
rate	The rate parameter value of the gamma distribution
shape	The shape parameter values of the gamma distribution
deriv	An integer, the number of derivatives of the MGF to apply

Value

The number resulting from the function evaluation

Examples

# MGF of a gamma distributions, evaluated at -0.1:
MGFgamma(-0.1, rate = 0.7, shape = 3)
# Second moment of the distribution (second derivative evaluated at zero):
MGFgamma(0, rate = 0.7, shape = 3, deriv = 2)

facilityepimath documentation built on April 4, 2025, 12:59 a.m.