Accession Number : AD0782420
Title : The Description of a Random Field by Means of Its Conditional Distribution.
Descriptive Note : Technical rept.,
Corporate Author : STANFORD UNIV CALIF OPERATIONS RESEARCH HOUSE
Personal Author(s) : Jacobs,P. A.
Report Date : MAR 1974
Pagination or Media Count : 17
Abstract : Let T denote the d-dimensional integer lattice. Let X = (X(t); t belongs to T) be a process taking values on a countable space E with probability law P. The pair (X,P) is called a random field. For each finite subset J of T, let Q sub J denote the conditional distribution of (X(t); t belongs to J) given the values of X(t), t belongs to J. The collection Q = (Q sub J; J subset T) is called the conditional distribution of (X,P). A characterization is given for the collection of all random fields with a given conditional distribution Q. (Author)
Descriptors : *Algebra, *Vector spaces, Probability density functions, Measure theory, Set theory, Theorems
Subject Categories : Statistics and Probability
Distribution Statement : APPROVED FOR PUBLIC RELEASE