Journal ArticleDOI
An approximation to a two-dimensional binary process
T. R. Welberry,G. H. Miller +1 more
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A method of estimating properties of the equilibrium distribution is described which considerably extends the region of probability space that can satisfactorily be explored.Abstract:
We further consider a two-dimensional stochastic process of binary variables previously discussed by Galbraith and Walley (1976). A method of estimating properties of the equilibrium distribution is described which considerably extends the region of probability space that can satisfactorily be explored. TWO-DIMENSIONAL PROCESS; BINARY VARIABLES; POWER METHOD FOR EIGENVECTORS; MATCHED BOUNDARY CONDITIONSread more
Citations
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Diffuse X-Ray Scattering and Models of Disorder
TL;DR: In this paper, the authors review the earlier 1D models in order to develop the framework necessary for a discussion of the later higher-dimensional results, illustrated with optical analogue diffraction examples.
Journal ArticleDOI
Image Models
Narendra Ahuja,Bruce Schachter +1 more
TL;DR: Models of spatial variation used m the computer processing of pictorial information are surveyed and several high-level models making use of semantic reformation are also described.
Journal ArticleDOI
Crystal growth models and Ising models. IV. Graphical solutions for correlations
TL;DR: In this paper, Graphical expansions are used to obtain exact solutions for correlations in symmetric models of crystal growth disorder, which are equivalent to Ising models with fields and competing multi-spin interactions constrained so as to give an effective reduction in dimensionality.
Journal ArticleDOI
Connections between Ising Models and Various Probability Distributions
I. G. Enting,Thomas Welberry +1 more
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Further properties for unilateral binary processes
R. F. Galbraith,D. Walley +1 more
TL;DR: In this article, the results and methods discussed in two previous papers are extended to other cases, and a comparison with recent work by Pickard (1980) and an earlier conjecture is disproved.
References
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Journal ArticleDOI
Physical nearest-neighbour models and non-linear time-series
TL;DR: In this article, a general class of spatial-temporal Markov processes is defined leading to the standard spatial equilibrium distribution for nearest-neighbour models on a multi-dimensional lattice.
Journal ArticleDOI
A two dimensional model of crystal growth disorder
Thomas Welberry,RF Galbraith +1 more
TL;DR: In this article, a simple two-dimensional model of crystal growth disorder is described, which assumes growth probability parameters which involve the interaction of a crystallizing molecule with neighbours in two crystal directions.
Book ChapterDOI
Inference and stochastic processes
TL;DR: For scientific inference in general the competing approaches are the hypothetical-deductive and the Bayesian, and the formalism of each is discussed in statistical contexts in terms of the two main concepts of probability—chance and degree of belief.