Abstract
This is an introductory chapter containing fundamental properties of Poisson processes, Markov chains, and Markov jump processes. Apart from being of interest on their own, the aforementioned topics are essential for the construction of phase-type distributions, both discrete and continuous, as well as in applications, stochastic modeling, and statistical methods presented in the remainder of the book.
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Bladt, M., Nielsen, B.F. (2017). Preliminaries on Stochastic Processes. In: Matrix-Exponential Distributions in Applied Probability. Probability Theory and Stochastic Modelling, vol 81. Springer, Boston, MA. https://doi.org/10.1007/978-1-4939-7049-0_1
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DOI: https://doi.org/10.1007/978-1-4939-7049-0_1
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Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4939-7047-6
Online ISBN: 978-1-4939-7049-0
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