ABSTRACT

Albert (1991) and Le, Leroux and Puterman (1992) describe the fitting of two-state Poisson-HMMs to series of daily counts of epileptic seizures in one patient. Such models appear to be a promising tool for the analysis of seizure counts, the more so as there are suggestions in the neurology literature that the susceptibility of a patient to seizures may vary in a fashion that can reasonably be represented by a Markov chain; see Hopkins, Davies and Dobson (1985). Another promising approach, not pursued here, is to use an AR(1) analogue based on thinning; see Franke and Seligmann (1993).