Solidarity and ergodic properties of semi-Markov transition probabilities
The chief purpose of this thesis is to establish for semi-Markov processes the same type of behaviour that is characteristic of the better-known Markov chains; this is achieved mainly through the use of Laplace and Laplace-Stieltjes transforms and a frequent appeal to renewal theory. The mathematical tools needed for the task are developed in the first chapter. In the second chapter the solidarity nature of geometric ergodicity within an irreducible class is examined, and necessary and...[Show more]
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