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This function specifies a discretized shifted Gamma distribution (shifted such that the minimum is at 1) using a mean and standard deviation parameterization.

The shift makes the distribution attractive for modeling generation time distributions, which are often assumed to have zero probability mass for a generation time of zero (as this is incompatible with the renewal equation).

Usage

get_discrete_gamma_shifted(gamma_mean, gamma_sd, maxX = 10)

Arguments

gamma_mean

Mean of the shifted Gamma distribution.

gamma_sd

Standard deviation of the shifted Gamma distribution.

maxX

Right truncation point. All probability mass beyond maxX will be assigned to maxX.

Value

A numeric vector representing the PMF of the discretized shifted Gamma distribution.

Details

This code was adapted from EpiEstim, credit to Anne Cori (a.cori@imperial.ac.uk).