Statistical Modeling and Robust Inference for One-shot Devices

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Narayanaswamy Balakrishnan (Distinguished University Professor, Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, Canada) Elena Castilla (Assistant Professor, Rey Juan Carlos University, Madrid, Spain)

Statistical Modeling and Robust Inference for One-shot Devices

Narayanaswamy Balakrishnan (Distinguished University Professor, Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, Canada), Elena Castilla (Assistant Professor, Rey Juan Carlos University, Madrid, Spain)

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English

Academic Press Inc
16 May 2025

Discrete mathematics; Applied mathematics; Algorithms & data structures; Artificial intelligence; Expert & knowledge-based systems

The study of one-shot devices such as automobile airbags, fire extinguishers, or antigen tests, is rapidly becoming an important problem in the area of reliability engineering. These devices, which are destroyed or must be rebuilt after use, are a particular case of extreme censoring, which makes the problem of estimating their reliability and lifetime challenging. However, classical statistical and inferential methods do not consider the issue of robustness.

Statistical Modeling and Robust Interference for One-shot Devices offers a comprehensive investigation of robust techniques of one-shot devices under accelerated-life tests. With numerous examples and case studies in which the proposed methods are applied, this book includes detailed R codes in selected chapters to help readers implement their own codes and use them in the proposed examples and in their own research on one-shot devicetesting data. Researchers, mathematicians, engineers, and students working on acceleratedlife testing data analysis and robust methodologies will find this to be a welcome resource.

By: Narayanaswamy Balakrishnan (Distinguished University Professor Department of Mathematics and Statistics McMaster University Hamilton Ontario Canada), Elena Castilla (Assistant Professor, Rey Juan Carlos University, Madrid, Spain)
Imprint: Academic Press Inc
Country of Publication: United States
Dimensions: Height: 229mm, Width: 152mm,
Weight: 450g
ISBN: 9780443141539
ISBN 10: 0443141533
Pages: 220
Publication Date: 16 May 2025
Audience: Professional and scholarly , College/higher education , Undergraduate , Further / Higher Education
Format: Paperback
Publisher's Status: Active

Narayanaswamy Balakrishnan is a distinguished university professor in the Department of Mathematics and Statistics at McMaster University Hamilton, Ontario, Canada. He is an internationally recognized expert on statistical distribution theory, and a book-powerhouse with over 24 authored books, four authored handbooks, and 30 edited books under his name. He is currently the Editor-in-Chief of Communications in Statistics published by Taylor & Francis. He was also the Editor-in-Chief for the revised version of Encyclopedia of Statistical Sciences published by John Wiley & Sons. He is a Fellow of the American Statistical Association and a Fellow of the Institute of Mathematical Statistics. In 2016, he was awarded an Honorary Doctorate from The National and Kapodistrian University of Athens, Athens, Greece. In 2021, he was elected as a Fellow of the Royal Society of Canada. Elena Castilla is an assistant professor at the Department of Applied Mathematics at Rey Juan Carlos University, in Spain. She obtained her Ph.D, M.Sc. and Bachelor Degrees in Mathematics and Statistics at Universidad Complutense de Madrid, and is an awardee of the Ramiro Melendreras Award (SEIO, 2021) and Vicent Caselles Award (RSME & Fundación BBVA 2022). Dr. Castilla’s research interests include information theory, categorical data analysis, composite likelihood, logistic regression models, reliability analysis and robust statistics.