Summary
The states of a Markov chain may be on an ordinal or a nominal scale. In this situation we need to assign appropriate scores to the states in order to study a given problem in detail. Using Fisher's criterion for assigning optimum scores to the marginals of anm×n contingency table, we shall obtain a system of optimum scores to assign to the states of a stationary Markov chain of order one.
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References
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Patel, H.I. The choice of optimum scores in a Markov chain of order one. Ann Inst Stat Math 22, 535–538 (1970). https://doi.org/10.1007/BF02506373
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DOI: https://doi.org/10.1007/BF02506373