Description
Semi-Markov Processes and Reliability, Softcover reprint of the original 1st ed. 2001
Statistics for Industry and Technology Series
Authors: Limnios N., Oprisan G.
Language: EnglishSubjects for Semi-Markov Processes and Reliability:
Approximative price 105.49 €
In Print (Delivery period: 15 days).
Add to cart the book of Limnios N., Oprisan G.
Semi-Markov Processes and Reliability
Publication date: 10-2012
222 p. · 17.8x25.4 cm · Paperback
Publication date: 10-2012
222 p. · 17.8x25.4 cm · Paperback
Approximative price 105.49 €
Subject to availability at the publisher.
Add to cart the book of Limnios N., Oprisan G.
Semi-markov processes and reliability
Publication date: 02-2001
222 p. · 17.8x25.4 cm · Hardback
Publication date: 02-2001
222 p. · 17.8x25.4 cm · Hardback
Description
/li>Contents
/li>
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.
(FULL TOC ATTACHED)1. Introduction and Renewal Process; 2. Markov Renewal Process, 3. Semi-Markov Process; 4. Countable State Space SMP; 5. Reliability of Semi-Markov Systems; 6 Examples of Reliability Evaluation; A. Measures and Probability; B. Laplace-Stieltjes Transform; c. Weak Convregence
© 2024 LAVOISIER S.A.S.
These books may interest you
Semi-Markov Random Evolutions 105.49 €