Analysing binary lattice data with the nearest-neighbor property
- 1 March 1975
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 12 (04) , 702-712
- https://doi.org/10.1017/s002190020004866x
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.Keywords
This publication has 5 references indexed in Scilit:
- Generalized Gibbs states and Markov random fieldsAdvances in Applied Probability, 1973
- A Theorem about Random FieldsBulletin of the London Mathematical Society, 1973
- Physical nearest-neighbour models and non-linear time-seriesJournal of Applied Probability, 1971
- Markov Random Fields and Gibbs EnsemblesThe American Mathematical Monthly, 1971
- THE FIRST AND SECOND MOMENTS OF SOME PROBABILITY DISTRIBUTIONS ARISING FROM POINTS ON A LATTICE AND THEIR APPLICATIONBiometrika, 1949