Accession Number : AD0714704

Title :   On Markovian Lattices,

Corporate Author : HAWAII UNIV HONOLULU DEPT OF ELECTRICAL ENGINEERING

Personal Author(s) : Gaarder,N. T.

Report Date : 28 JUL 1970

Pagination or Media Count : 36

Abstract : Random fields that are defined on only a discrete set of points which form a rectangular lattice are considered. The Markov property of lattices is extended to include such random fields. The extension is based upon a monotone increasing set of polytopes--the ordering of the polytopes replaces the natural time ordering. A particular class of Markov random lattices is then considered in detail. It is found that assuming homogeneity severely restricts the structure of the lattice. (Author)

Descriptors :   (*STOCHASTIC PROCESSES, MATHEMATICAL MODELS), PATTERN RECOGNITION, INFORMATION THEORY, SET THEORY, THEOREMS

Subject Categories : Statistics and Probability
      Cybernetics

Distribution Statement : APPROVED FOR PUBLIC RELEASE