Abstract
The probability density of binary variables on a lattice with the nearest-neighbor condition is given by the Gibbs Random Field formula. This paper examines some consequences of the result. Approximate formulae for the maximum likelihood estimator of the persistence parameter are derived and discussed, with an example. A comparison is made between two test statistics for independence.
Publisher
Cambridge University Press (CUP)
Subject
Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability
Reference20 articles.
1. Nearest neighbor systems and the auto-logistic model for binary data;Besag;J. R. Statist. Soc., B,1972a
2. THE FIRST AND SECOND MOMENTS OF SOME PROBABILITY DISTRIBUTIONS ARISING FROM POINTS ON A LATTICE AND THEIR APPLICATION
3. Hammersley J. M. and Clifford P. (1971) Markov fields on finite graphs and lattices (unpublished).
4. Factorial moments and cumulants of distributions arising in Markov chains;Iyer;J. Ind. Soc. Agr. Statist.,1952
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