Potential measures of one-sided Markov additive processes with reflecting and terminating barriers

Jevgenijs Ivanovs

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arXiv · 1309.4987

Potential measures of one-sided Markov additive processes with reflecting and terminating barriers

Jevgenijs Ivanovs

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Abstract

Consider a one-sided Markov additive process with an upper and a lower barrier, where each can be either reflecting or terminating. For both defective and non-defective processes and all possible scenarios we identify the corresponding potential measures, which generalizes a number of results for one-sided Levy processes. The resulting rather neat formulas have various applications, and in particular they lead to quasi-stationary distributions of the corresponding processes.

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Jevgenijs Ivanovs. 2013-09-19. Potential measures of one-sided Markov additive processes with reflecting and terminating barriers. https://arxiv.org/abs/1309.4987

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