Journal of Mathematics
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Researchers from University of Linkoping Report Details of New Studies and Findings in the Area of Mathematics
June 14th, 2011
According to recent research from Linkoping, Sweden, "Let S be a denumerable state space and let P be a transition probability matrix on S. If a denumerable set M of nonnegative matrices is such that the sum of the matrices is equal to P, then we call M a partition of P. Let K denote the set of probability vectors on S. With every partition M of P we can associate a transition probability function PM on K defined in such a way that if p is an element of K and M is an element of M are such that parallel to pM parallel to > 0, then, with probability parallel to pM parallel to, the vector p is transferred to the vector PM/parallel to pM parallel to. Here parallel to. parallel to denotes the...
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Source: Journal of Mathematics (2011-06-14)