unifprior

Compute a uniform prior on alpha, beta, gamma, and epsilon

We build an Susceptible-Infectious-Recovered (SIR) model where the rate of infection is the sum of the household rate and the community rate. We estimate the posterior distribution of the parameters using the Metropolis algorithm. Further details may be found in: F Scott Dahlgren, Ivo M Foppa, Melissa S Stockwell, Celibell Y Vargas, Philip LaRussa, Carrie Reed (2021) "Household transmission of influenza A and B within a prospective cohort during the 2013-2014 and 2014-2015 seasons" <doi:10.1002/sim.9181>.

F Dahlgren

SIRmcmc

Compartmental Susceptible-Infectious-Recovered (SIR) Model of
Community and Household Infection

unifprior function

<dl> <dt>alpha</dt>
<dd>A number compared to the upper bound UB and the lower bound LB.</dd> <dt>beta</dt>
<dd>A number compared to the upper bound UB and the lower bound LB.</dd> <dt>gamma</dt>
<dd>A number compared to the upper bound UB and the lower bound LB.</dd> <dt>epsilon</dt>
<dd>A number compared to the upper bound UB and the lower bound LB.</dd> <dt>esteps</dt>
<dd>A number in (0,1). Used for logic as to whether to compute the
 prior probability of epsilon (1) or not (0).</dd> <dt>UB</dt>
<dd>A number used as an upper bound on the model parameters.</dd> <dt>LB</dt>
<dd>A number used as a lower bound on the model parameters.</dd></dl>

Arguments

A uniform prior on the model parameters — unifprior

<dl>

 <dt>alpha</dt>
<dd>A number compared to the upper bound UB and the lower bound LB.</dd>

 <dt>beta</dt>
<dd>A number compared to the upper bound UB and the lower bound LB.</dd>

 <dt>gamma</dt>
<dd>A number compared to the upper bound UB and the lower bound LB.</dd>

 <dt>epsilon</dt>
<dd>A number compared to the upper bound UB and the lower bound LB.</dd>

 <dt>esteps</dt>
<dd>A number in (0,1). Used for logic as to whether to compute the
 prior probability of epsilon (1) or not (0).</dd>

 <dt>UB</dt>
<dd>A number used as an upper bound on the model parameters.</dd>

 <dt>LB</dt>
<dd>A number used as a lower bound on the model parameters.</dd>

</dl>

unifprior: A uniform prior on the model parameters

Description

Usage

Value

Arguments

See Also