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A multinomial model for transition probability matrices

Published online by Cambridge University Press:  14 July 2016

G. G. S. Pegram
G. G. S. Pegram*
Affiliation:
University of Natal
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Abstract

A model for the transition probability matrices (t.p.m.'s) of finite discrete Markov chains is suggested which may help those who wish to use a larger number of states than would seem reasonable with the data available in the current estimation situation. The model is especially useful in that a finite t.p.m. of arbitrary size can be specified by as few as two parameters. An example of the model's estimation and use is presented, showing it in a fair light in comparison with the conventional method of t.p.m. specification.

Keywords

FINITE DISCRETE MARKOV CHAINSAPPROXIMATIONMODELLINGBIVARIATE DISCRETE DISTRIBUTIONSPARSIMONY
Type
Research Papers
Information
Journal of Applied Probability , Volume 12 , Issue 3 , September 1975 , pp. 498 - 506
Copyright
Copyright © Applied Probability Trust 1975 

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References

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