Normal approximations for lattice systems

DOI10.1016/0167-7152(92)90054-9zbMath0741.62019OpenAlexW2044493914MaRDI QIDQ1185551

S. Singh

Publication date: 28 June 1992

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(92)90054-9

zbMATH Keywords

Markov chainMarkov random fieldmoment generating functionrectangular latticelattice systemasymptotically normalinteraction parameternormal limiting distributioncentral limit properties of finite-step dependent stationary processes

Mathematics Subject Classification ID

Random fields; image analysis (62M40) Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05)

Cites Work

• Parameter estimation for hidden Gibbs chains
• Limiting results for arrays of binary random variables on rectangular lattices under sparseness conditions
• Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images
• Normal approximations for binary lattice systems
• Clustering on coloured lattices
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