Abstract
Upper and lower bounds are studied for the solutions of Markov renewal equations. Some of their special cases are derived under specific marginal conditons and in an alternating environment. The method to construct the bounds is also explained in detail. At the end, these bounds are applied to a shock model and an age-dependent branching process under Markovian environment.
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Li, G., Luo, J. Upper and lower bounds for the solutions of Markov renewal equations. Math Meth Oper Res 62, 243–253 (2005). https://doi.org/10.1007/s00186-005-0008-6
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DOI: https://doi.org/10.1007/s00186-005-0008-6