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1 results

  • A multinomial model for transition probability matrices

  • G. G. S. Pegram
  • Journal:
    Journal of Applied Probability / Volume 12 / Issue 3 / September 1975
    Published online by Cambridge University Press:
    14 July 2016, pp. 498-506
    Print publication:
    September 1975

  • 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.