# A time series of Poisson counts; Polio data

A serially correlated time series of Poisson counts using a GLMM framework

**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 *y*has a Poisson (lambda

_{i}_{i}) distribution, where

log(lambda

_{i}) =

**X**_{i}**b**+

*u*.

_{i}Here,

*is a covariate vector,*

**X**_{i}**b**is a vector of regression parameters and

*u*

_{i}is a first order autoregressive process.

### Details

polio.pdf

### Files

See "Navigation" box to the left.

- .tpl: Model file
- .dat: Data file
- .pin: Starting values for the numerical optimizer
- .par: Result file (what you get when you compile and run your model)