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Asymptotic inference for an Ising lattice

Published online by Cambridge University Press:  14 July 2016

D. K. Pickard
D. K. Pickard*
Affiliation:
Australian National University
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Abstract

Kaufmann's exact characterization of the partition function for the classical Ising model is used to obtain limit theorems for the sample correlation between nearest neighbours in the non-critical case. This provides a basis for the asymptotic testing and estimation (by confidence intervals) of the correlation between nearest neighbours.

Keywords

AUTO-LOGISTIC MODELISING MODELGIBBS ENSEMBLENEAREST-NEIGHBOUR SYSTEMSSTATISTICAL INFERENCE ON LATTICESCENTRAL LIMIT THEOREMNEAREST-NEIGHBOUR CORRELATION
Type
Research Papers
Information
Journal of Applied Probability , Volume 13 , Issue 3 , September 1976 , pp. 486 - 497
Copyright
Copyright © Applied Probability Trust 1976 

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