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E-book
Author Kotz, Samuel.

Title The stress-strength model and its generalizations : theory and applications / Samuel Kotz, Yan Lumelskii, Marianna Pensky
Published River Edge, NJ : World Scientific, [2003]
©2003
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Description 1 online resource (xvii, 253 pages) : illustrations
Contents 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
Notes Print version record
Subject Distribution (Probability theory)
Estimation theory.
Mathematical statistics.
Reliability (Engineering) -- Statistical methods.
Form Electronic book
Author Lumelʹskiĭ, I͡An Petrovich.
Pensky, Marianna.
ISBN 1281876895
9781281876898
9789812564511 (electronic bk.)
9812564519 (electronic bk.)