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Further properties for unilateral binary processes
R. F. Galbraith, D. Walley
Journal:

Journal of Applied Probability / Volume 19 / Issue 2 / June 1982

Published online by Cambridge University Press:

14 July 2016, pp. 332-343

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June 1982
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Results and methods discussed in two previous papers are extended to other cases. Comparison is made with recent work by Pickard (1980) and an earlier conjecture is disproved.

Ergodic properties of a two-dimensional binary process
R. F. Galbraith, D. Walley
Journal:

Journal of Applied Probability / Volume 17 / Issue 1 / March 1980

Published online by Cambridge University Press:

14 July 2016, pp. 124-133

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March 1980
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Sufficient conditions are derived for ergodicity of the two-dimensional process of binary variables discussed by Galbraith and Walley (1976).

An approximation to a two-dimensional binary process
T. R. Welberry, G. H. Miller
Journal:

Journal of Applied Probability / Volume 14 / Issue 4 / December 1977

Published online by Cambridge University Press:

14 July 2016, pp. 862-868

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December 1977
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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.

On a two-dimensional binary process
R. F. Galbraith, D. Walley
Journal:

Journal of Applied Probability / Volume 13 / Issue 3 / September 1976

Published online by Cambridge University Press:

14 July 2016, pp. 548-557

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September 1976
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We consider a two-dimensional stochastic process of binary variables xij defined so that the conditional distribution of xij given its predecessors depends only on xi–1j and xij–1 Properties of the equilibrium distribution, when this exists, are investigated using three different representations of the process and explicit results are given in some special cases.

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