Consistency of Random Field Specifications

Flood, R. G. and Sullivan, W. G. (1978) Consistency of Random Field Specifications. (Preprint)

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Abstract

A random field specification is a consistent family of conditional probability distributions parametrized by a directed set A. For a subset B ⊂ A there is the problem of determining which, if any, specifications arise from a given family of conditional probability candidates parametrized by B. For an algebraic form of this problem we give necessary and sufficient conditions for existence and uniqueness. We apply the results to one-dimensional random fields with nearest neighbour constraints.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 11 Jul 2018 10:53
Last Modified: 14 Dec 2022 14:57
URI: https://dair.dias.ie/id/eprint/958

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