Preface; Some Notations and Abbreviations; Contents; Chapter 1 The Stress-Strength Models. Mathematics, History, and Applications; Chapter 2 The Theory and Some Useful Approaches; Chapter 3 Parametric Point Estimation; Chapter 4 Parametric Statistical Inference; Chapter 5 Nonparametric Models; Chapter 6 Some Selected Special Cases; Chapter 7 Applications and Examples; Bibliography; Index
Summary
This important book presents developments in a remarkable field of inquiry in statistical/probability theory - the stress-strength model. Many papers in the field include the enigmatic "words" P(X<Y) - or something similar - in the title. This reflects the long-established concept of ordering of distributions. The basic impetus for the study carried out by the authors of this book is the general concept of stress-strength as an interpretation of the P(X<Y) relationships, which leads to applications in reliability engineering, economics and modern medicine. The Stress-Strength Model and Its Generalizations collects and digests theoretical and practical results on the theory and applications of the stress-strength relationships in industrial and economic systems - results that have been scattered in the literature during the last 40-odd years - and augments and presents them for the first time in a unified manner suitable for practitioners as well as probabilists and theoretical and applied statisticians
Notes
"P(X<Y)."
Bibliography
Includes bibliographical references (pages 233-249) and index