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On analytical methods for incomplete Markov random fields

Published online by Cambridge University Press:  01 July 2016

Timo Ravaska
Timo Ravaska*
Affiliation:
University of Oulu
*
∗Postal address: Department of Mathematics, Faculty of Science, University of Oulu, Linnanmaa, SF-90570 Oulu 57, Finland.
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Abstract

It is shown that many properties of Markov processes can be extended to the case where the time parameter is multidimensional (a partially ordered set). This includes Kolmogorov's backward and forward equations, and semi-group treatment of homogeneous processes.

Keywords

MARKOV PROPERTYMULTIDIMENSIONAL TIMETOTAL DIFFERENTIAL EQUATIONS (PFAFFIAN SYSTEMS)MULTIPARAMETER SEMI-GROUPSBIRTH-AND-DEATH PROCESSES
Type
Research Article
Information
Advances in Applied Probability , Volume 15 , Issue 1 , March 1983 , pp. 99 - 112
Copyright
Copyright © Applied Probability Trust 1983 

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