Overview
- Explains practical applications in probability, statistics, physics, material science, and engineering
- Examines both the physical and statistical aspects of fibre bundle models and related methodologies and theories
- Presents potential future directions as well as an overview of the state of the field
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About this book
This book presents a critical overview of statistical fiber bundle models, including existing models and potential new ones. The authors focus on both the physical and statistical aspects of a specific load-sharing example: the breakdown for circuits of capacitors and related dielectrics. In addition, they investigate some areas of open research.
This book is designed for graduate students and researchers in statistics, materials science, engineering, physics, and related fields, as well as practitioners and technicians in materials science and mechanical engineering.
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Keywords
Table of contents (11 chapters)
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Part I
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Part II
Authors and Affiliations
About the authors
James U. Gleaton is Professor Emeritus in the Department of Mathematics and Statistics at the University of North Florida.
David Han is Associate Professor of Management Science and Statistics at the University of Texas at San Antonio.
James D. Lynch is Distinguished Professor Emeritus in the Department of Statistics at the University of South Carolina.
Hon Keung Tony Ng is Professor in the Department of Mathematical Sciences at Bentley University.
Fabrizio Ruggeri is Research Director at the Italian National Research Council in Milan.
Bibliographic Information
Book Title: Fiber Bundles
Book Subtitle: Statistical Models and Applications
Authors: James U. Gleaton, David Han, James D. Lynch, Hon Keung Tony Ng, Fabrizio Ruggeri
DOI: https://doi.org/10.1007/978-3-031-14797-5
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: 978-3-031-14796-8Published: 16 March 2023
eBook ISBN: 978-3-031-14797-5Published: 15 March 2023
Edition Number: 1
Number of Pages: XIII, 157
Number of Illustrations: 7 b/w illustrations, 41 illustrations in colour
Topics: Applied Statistics, Mathematical and Computational Engineering, Electrical Engineering, Mechanical Engineering, Circuits and Systems