Reliability Analysis and Plans for Successive Testing. Start-up Demonstration Tests and Applications

Table of Contents

1. Introduction
2. Preliminaries
3. Binary start-up demonstration tests
4. Multistate start-up demonstration tests
5. An unified approach
6. Statistical inference and a mixture model
7. Some extended testing procedures and optimal design of tests
8. Illustrative data analyses
9. Applications to other fields

Authors

Narayanaswamy Balakrishnan Distinguished University Professor, Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, Canada. 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. Markos Koutras Department of Statistics and Insurance Science, University of Piraeus and Dean of the School of Finance and Statistics, Piraeus, Greece. Markos Koutras, Professor of Statistics and Applied Probability, is in the Department of Statistics and Insurance Science, University of Piraeus, and is currently the Vice-Rector of Finance, Planning and Development of the University of Piraeus, Greece. Koutras' research interests include asymptotic theory, combinatorial distributions, multivariate analysis, reliability theory, statistical quality control, and theory of runs/scans/patterns, and he has published a book on the last topic, collaboratively with Professor N. Balakrishnan, with John Wiley & Sons. Fotios Milienos Postdoctoral fellow, Department of Mathematics and Statistics, McMaster University, Ontario, Canada. Fotios Milienos, Assistant Professor, in the Department of Sociology, Panteion University of Social and Political Sciences, Greece. His research interests include theory of runs and patterns, cure rate modeling, and statistical methods in behavioral research.