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| In this notebook we demonstrate how to implement a discrete time function map model in Julia, and perform Bayesian inference using Turing.jl. The model is a simple SIR model with an additional state variable to track cumulative incidence. We assume that the number of observed cases in each time step is a binomial sample of the true incidence, with a reporting probability `q`. The structure of this notebook is similar to that of the [Markov POMP tutorial](https://github.com/epirecipes/sir-julia/markdown/markov_pomp/markov_pomp.md), except by choosing a function map rather than a Markov model, we can use automatic differentiation and the NUTS sampler in Turing.jl, as (a) there is no random number generation during inference and (b) all the parameters are continuous. |
As the title.
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