Overview
- An up-to-date introduction to system reliablity theory
- Introduces simple mathematical models
- Supplies code for the statistics program R
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About this book
This textbook provides the tools for a modern post-graduate introductory course on system reliability theory. It focuses on probabilistic aspects of the theory, including recent results based on signatures, stochastic orders, aging classes, copulas and distortion (or aggregation) functions. The reader requires on an introductory knowledge on probability theory and mathematics. The book serves both for graduate students in mathematics and for engineering students in various disciplines as well as students learning survival analysis, network reliability or simple game theory. Included also are brief introductions to the basic aspects of lifetime modelling, stochastic comparisons, aging classes, mixtures and copula theory. The book develops this knowledge with worked examples and supplies code for the program R so that students can explore its lessons and techniques.
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Keywords
Table of contents (5 chapters)
Authors and Affiliations
About the author
Jorge Navarro is full professor in the Department of Statistics and Operational Research, located at the Faculty of Mathematics in the University of Murcia (Spain). He has more than one hundred research papers in this field. He appears in the Standford top researchers' list: 332/16942 in Stat. & Probab. Associate editor of IEEE Transactions on Reliability, since 2018 and Metrika, since 2017. Editor of Journal of Applied Probability, since 2016 and associate editor or board member of several other journals.
Bibliographic Information
Book Title: Introduction to System Reliability Theory
Authors: Jorge Navarro
DOI: https://doi.org/10.1007/978-3-030-86953-3
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2022
Hardcover ISBN: 978-3-030-86952-6Published: 04 October 2021
Softcover ISBN: 978-3-030-86955-7Published: 06 October 2022
eBook ISBN: 978-3-030-86953-3Published: 03 October 2021
Edition Number: 1
Number of Pages: XII, 174
Number of Illustrations: 12 b/w illustrations, 30 illustrations in colour
Topics: Mathematical Modeling and Industrial Mathematics, Risk Management, Engineering Economics, Organization, Logistics, Marketing, Industrial Organization