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Fitting interconnected Markov chain models - DNA sequences and test cricket matches

Lookup NU author(s): Dr Peter Avery

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Abstract

Discrete state series can often be modelled by stationary Markov chains. However, if the Markov chain depends on the value of an additional variable, then it may be necessary to fit a set of interconnected Markov chains. This paper shows how this can be done using log-linear modelling. The methods are exemplified by modelling the human alpha-fetoprotein DNA sequence and the results of Australia versus England test cricket matches. In the former case, the additional variable is reading frame position and in the latter it is the country in which the match is played. Practical problems such as the power of the tests and the effect of cells with small expected values are discussed.

Publication metadata

Author(s): Avery PJ

Publication type: Article

Publication status: Published

Journal: Journal of the Royal Statistical Society Series D: The Statistician

Year: 2002

Volume: 51

Pages: 267-278

ISSN (print): 0039-0526

ISSN (electronic): 1467-9884

Publisher: Wiley-Blackwell Publishing Ltd.

URL: http://dx.doi.org/10.1111/1467-9884.00317

DOI: 10.1111/1467-9884.00317

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