# A discrete valued time series model; The polio dataset
ADMB Files
Code: polio.tpl Data: polio.dat Initial values: polio.pin Expected Results: polio-expected-results.par
| ### Model description As an example of a discrete valued time series we use the 'polio data' considered by Kuk & Cheng (1999). It is assumed that yi has a Poisson (li) distribution, where log(li) = Xi b + ui. Here, Xi is a covariate vector, b is a vector of regression parameters and ui is a first order autoregressive process ui = r*ui-1 + ei. Further details about the model can be found here: polio.pdf.