Abstract
Consider a discrete time Markov chain {Zn
} whose state space is the non-negative integers and whose transition probability matrix ║Pij
║ possesses the representation
where {Pr
}, r = 1,2,…, is a finite or denumerably infinite sequence of non-negative real numbers satisfying , and , is a corresponding sequence of probability generating functions. It is assumed that Z
0 = k, a finite positive integer.
Publisher
Cambridge University Press (CUP)
Subject
Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability
Cited by
5 articles.
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