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Explanation

  1. Data and Parameters: The data and par lists contain the input data and parameters, respectively. These are passed to the objective_function.
  2. Objective Function: The objective_function computes the negative log-likelihood (nll) and returns a list of results, including likelihood components, predictions, and residuals.
  3. RTMB Compatibility: The model is written in R but uses RTMB to handle the C++ backend, making it compatible with TMB's optimization and simulation tools.
  4. Report: The report list contains all the outputs, including likelihood components, predictions, and residuals.

This setup allows you to use the model in R while leveraging the performance of TMB's C++ backend. You can optimize the model using RTMB::MakeADFun and RTMB::nlminb.

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