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Topics in the theory and applications of Markov chains

Seneta, Eugene


The dissertation which follows is concerned with various aspects of behaviour within a set of states, J, of a discrete-time Markov chain, {Xn }, on a denumerable state space, S. A basic assumption with regard to J is that escape from any state of J into S-J may occur in a finite number of steps with positive probability. Since we are concerned only with behaviour within J, we may in general take J = {1,2,3,...} and represent S-J as a single absorbing state {0}. Thus without loss of...[Show more]

CollectionsOpen Access Theses
Date published: 1968
Type: Thesis (PhD)


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