Semi-Markov Processes and Reliability:
Gespeichert in:
Beteilige Person: | |
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Format: | Elektronisch E-Book |
Sprache: | Englisch |
Veröffentlicht: |
Boston, MA
Birkhäuser Boston
2001
|
Schriftenreihe: | Statistics for Industry and Technology
|
Schlagwörter: | |
Links: | https://doi.org/10.1007/978-1-4612-0161-8 |
Beschreibung: | 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 mathematics, separated from the body of experience and examples that have brought it to life. The theory of stochastic processes entered a period of intensive development, 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 motion. 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 reliability |
Umfang: | 1 Online-Ressource (XII, 222 p) |
ISBN: | 9781461201618 9781461266402 |
DOI: | 10.1007/978-1-4612-0161-8 |
Internformat
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500 | |a 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 mathematics, separated from the body of experience and examples that have brought it to life. The theory of stochastic processes entered a period of intensive development, 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 motion. 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 reliability | ||
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Datensatz im Suchindex
DE-BY-TUM_katkey | 2066469 |
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any_adam_object | |
author | Limnios, N. |
author_facet | Limnios, N. |
author_role | aut |
author_sort | Limnios, N. |
author_variant | n l nl |
building | Verbundindex |
bvnumber | BV042419460 |
classification_tum | MAT 000 |
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dewey-hundreds | 000 - Computer science, information, general works |
dewey-ones | 006 - Special computer methods |
dewey-raw | 006.3 |
dewey-search | 006.3 |
dewey-sort | 16.3 |
dewey-tens | 000 - Computer science, information, general works |
discipline | Informatik Mathematik |
doi_str_mv | 10.1007/978-1-4612-0161-8 |
format | Electronic eBook |
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id | DE-604.BV042419460 |
illustrated | Not Illustrated |
indexdate | 2024-12-20T17:10:40Z |
institution | BVB |
isbn | 9781461201618 9781461266402 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027854877 |
oclc_num | 863696313 |
open_access_boolean | |
owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
physical | 1 Online-Ressource (XII, 222 p) |
psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
publishDate | 2001 |
publishDateSearch | 2001 |
publishDateSort | 2001 |
publisher | Birkhäuser Boston |
record_format | marc |
series2 | Statistics for Industry and Technology |
spellingShingle | Limnios, N. Semi-Markov Processes and Reliability Engineering System safety Computational Intelligence Quality Control, Reliability, Safety and Risk Ingenieurwissenschaften |
title | Semi-Markov Processes and Reliability |
title_auth | Semi-Markov Processes and Reliability |
title_exact_search | Semi-Markov Processes and Reliability |
title_full | Semi-Markov Processes and Reliability by N. Limnios, G. Oprişan |
title_fullStr | Semi-Markov Processes and Reliability by N. Limnios, G. Oprişan |
title_full_unstemmed | Semi-Markov Processes and Reliability by N. Limnios, G. Oprişan |
title_short | Semi-Markov Processes and Reliability |
title_sort | semi markov processes and reliability |
topic | Engineering System safety Computational Intelligence Quality Control, Reliability, Safety and Risk Ingenieurwissenschaften |
topic_facet | Engineering System safety Computational Intelligence Quality Control, Reliability, Safety and Risk Ingenieurwissenschaften |
url | https://doi.org/10.1007/978-1-4612-0161-8 |
work_keys_str_mv | AT limniosn semimarkovprocessesandreliability AT oprisang semimarkovprocessesandreliability |