Hostname: page-component-78c5997874-mlc7c Total loading time: 0 Render date: 2024-11-10T16:33:48.304Z Has data issue: false hasContentIssue false
  • English
  • Français

Nearest-neighbour systems: a lemma with application to Bartlett's global solutions

Published online by Cambridge University Press:  14 July 2016

J. E. Besag
J. E. Besag*
Affiliation:
University of Liverpool
Get access Rights & Permissions [Opens in a new window]

Abstract

Bartlett has proposed two alternative forms of spatial-temporal Markov model, each leading to the standard spatial equilibrium distribution for nearest-neighbour systems on a multi-dimensional lattice. The validity of one of these forms is discussed with the aid of a lemma.

Keywords

NEAREST NEIGHBOUR CORRELATIONSGLOBAL SOLUTIONS
Type
Short Communications
Information
Journal of Applied Probability , Volume 9 , Issue 2 , June 1972 , pp. 418 - 421
Copyright
Copyright © Applied Probability Trust 1972 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Bartlett, M. S. (1971) Physical nearest-neighbour models and non-linear time series, I. J. Appl. Prob. 8, 222–232.Google Scholar
Bartlett, M. S. (1972) Physical nearest-neighbour models and non-linear time series, II. Further discussion of approximate solutions and exact equations. J. Appl. Prob. 9, 76–86.CrossRefGoogle Scholar