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Add more loglikelihoods (ARMA variants and others) #662

@ben18785

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@ben18785

Additive ARMA(1, 1) errors are just one of a slew of potential error models to consider including. Others include:

  • Heteroscedastic errors where errors scale with value of y
  • Multiplicative independent and ARMA errors
  • ARMA processes using Student-t errors
  • Higher order ARMA(p, q) processes
  • Autoregressive-conditional-heteroscedacity (ARCH) and GARCH (G for general) processes, which allow an error process which changes with time
  • Kalman filter state-space models (probably a whole student project there...)

In principle, #661 should highlight which, if any, of these processes is appropriate for data.

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