MGFexponential

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

Calculate useful quantities for a user-defined differential equation
model of infectious disease transmission among individuals in a healthcare
facility. Input rates of transition between states of individuals with and
without the disease-causing organism, distributions of states at facility
admission, relative infectivity of transmissible states, and the facility length
of stay distribution. Calculate the model equilibrium and the basic facility
reproduction number, as described in Toth et al. (2025)
<doi:10.1101/2025.02.21.25322698>.

Damon Toth

facilityepimath

Analyze Mathematical Models of Healthcare Facility Transmission

Centers for Disease Control and Prevention 

MGFexponential function

<dl><dt>x</dt>
<dd>The value at which to evaluate the MGF</dd>
<dt>rate</dt>
<dd>The rate parameter value of the exponential distribution</dd>
<dt>deriv</dt>
<dd>An integer, the number of derivatives of the MGF to apply</dd></dl>

Arguments

Evaluate the moment generating function (MGF) of the exponential distribution or a derivative of the MGF — MGFexponential

<dl>

<dt>x</dt>
<dd>The value at which to evaluate the MGF</dd>


<dt>rate</dt>
<dd>The rate parameter value of the exponential distribution</dd>


<dt>deriv</dt>
<dd>An integer, the number of derivatives of the MGF to apply</dd>

</dl>

MGFexponential: Evaluate the moment generating function (MGF) of the exponential distribution or a derivative of the MGF

Description

Usage

Value

Arguments

Examples