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On Some Consequences of the Equation for the Markov Renewal Function of a Semi-Markov Process
Ukrainian Mathematical Journal, 2004We obtain chains of equations that relate the sojourn times of a semi-Markov process in a set of states to its Markov renewal function. We use the mathematical apparatus of the theory of Markov and semi-Markov processes.
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Some renewal-theoretic investigations in the theory of sojourn times in finite semi-Markov processes
Journal of Applied Probability, 1991In this note, an irreducible semi-Markov process is considered whose finite state space is partitioned into two non-empty sets A and B. Let MB (t) stand for the number of visits of Y to B during the time interval [0, t], t > 0. A renewal argument is used to derive closed-form expressions for the Laplace transform (with respect to
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Semi-semi-Markov processes: a generalized renewal approach for individual based branching processes
2007We consider the evolution of an individual-based branching population with semi-Markovian transitions (population with infinitely many types), and we generalize to this process the formalization of a classical individual semi-Markov model: we assume that for each individual of the branching population, the chain representing his jump states and jump ...
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Molecular imaging in oncology: Current impact and future directions
Ca-A Cancer Journal for Clinicians, 2022Steven P Rowe, Martin G Pomper
exaly
Markov Renewal Processes, Semi-Markov Processes and Markov Random Walks
2007Janssen Jacques, Manca Raimondo
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Modulation of cellular processes by histone and non-histone protein acetylation
Nature Reviews Molecular Cell Biology, 2022Maria Shvedunova, Asifa Akhtar
exaly