Introduction to System Reliability Theory

This textbook covers probabilistic aspects of system reliability theory, focusing on recent results based on signatures, stochastic orders, aging classes, copulas, and distortion functions. It is suitable for graduate students in mathematics and engineering, as well as students learning survival analysis, network reliability, or simple game theory. It includes brief introductions to lifetime modeling, stochastic comparisons, aging classes, mixtures, and copula theory and offers code for the program R for students to explore.

Format: Hardback
Length: 174 pages
Publication date: 04 October 2021
Publisher: Springer Nature Switzerland AG

This comprehensive textbook serves as a vital resource for a modern post-graduate introductory course in system reliability theory. It delves into probabilistic aspects of the field, encompassing recent advancements based on signatures, stochastic orders, aging classes, copulas, and distortion (or aggregation) functions. A foundational understanding of probability theory and mathematics is essential for the reader. This book caters to a diverse audience, including graduate students in mathematics, engineering students from various disciplines, as well as individuals pursuing studies in survival analysis, network reliability, or simple game theory. Additionally, brief introductions to essential topics such as lifetime modelling, stochastic comparisons, aging classes, mixtures, and copula theory are provided. The book employs practical examples and offers code in the programming language R, enabling students to actively explore its teachings and techniques. By presenting this knowledge in a structured and accessible manner, the textbook equips readers with the necessary tools to excel in the field of system reliability theory.

Weight: 453g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030869526
Edition number: 1st ed. 2022