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We prove that the large deviation principle holds for a class of processes inspired by semi-Markov additive processes. For the processes we consider, the sojourn times in the phase process need not be independent and identically distributed. Moreover the state selection process need not be independent of the sojourn times. We assume that the phase process takes values in a finite set and that the order in which elements in the set, called states, are visited is selected stochastically. The sojourn...
We prove that the large deviation principle holds for a class of
processes inspired by semi-Markov additive processes. For the
processes we consider, the sojourn times in the phase process need
not be independent and identically distributed. Moreover the
state selection process need not be independent of the sojourn
times. We assume that the phase process takes values in a finite set and
that the order in which elements in the set, called states, are
visited is selected stochastically. The sojourn...
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