Semi-Markov Processes and Reliability
Aus der Reihe
Statistics for Industry and Technology
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- Hardcover
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Sprache:Englisch
Fr. 138.00
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Beschreibung
Produktdetails
Einband
Taschenbuch
Erscheinungsdatum
21.10.2012
Abbildungen
XII, 222 p.
Verlag
Birkhäuser BostonSeitenzahl
222
Maße (L/B/H)
25.4/17.8/1.4 cm
Gewicht
460 g
Auflage
Softcover reprint of the original 1st edition 2001
Sprache
Englisch
ISBN
978-1-4612-6640-2
At first there was the Markov property. The theory of stochastic processes, which can be considered as an exten sion of probability theory, allows the modeling of the evolution of systems through the time. It cannot be properly understood just as pure mathemat ics, separated from the body of experience and examples that have brought it to life. The theory of stochastic processes entered a period of intensive develop ment, which is not finished yet, when the idea of the Markov property was brought in. Not even a serious study of the renewal processes is possible without using the strong tool of Markov processes. The modern theory of Markov processes has its origins in the studies by A. A: Markov (1856-1922) of sequences of experiments "connected in a chain" and in the attempts to describe mathematically the physical phenomenon known as Brownian mo tion. Later, many generalizations (in fact all kinds of weakenings of the Markov property) of Markov type stochastic processes were proposed. Some of them have led to new classes of stochastic processes and useful applications. Let us mention some of them: systems with complete connections [90, 91, 45, 86]; K-dependent Markov processes [44]; semi-Markov processes, and so forth. The semi-Markov processes generalize the renewal processes as well as the Markov jump processes and have numerous applications, especially in relia bility.
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