| Animal biologists commonly use continuous time Markov chain models
to describe patterns of animal behaviour. In this paper we consider
the use of these models for describing AFL football. In particular
we test the assumptions for continuous time Markov chain models (CTMCs),
with time, distance and speed values associated with each transition.
Using a simple event categorisation it is found that a semi-Markov
chain model is appropriate for this data. This validates the use of
Markov Chains for future studies in which the outcomes of AFL matches
are simulated.
KEY
WORDS: Homogeneity in time, sequential dependency, semi-Markov
process, football.
|
