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|a Kotz, Samuel.
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|a The stress-strength model and its generalizations :
|b theory and applications /
|c Samuel Kotz, Yan Lumelskii, Marianna Pensky.
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|a River Edge, NJ :
|b World Scientific,
|c ©2003.
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|a 1 online resource (xvii, 253 pages) :
|b illustrations
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|a "P(X<Y)."
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|a Includes bibliographical references (pages 233-249) and index.
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|a Print version record.
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|a 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.
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|a 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.
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|a Lumelʹskiĭ, I͡An Petrovich.
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|a Pensky, Marianna.
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|i Print version:
|a Kotz, Samuel.
|t Stress-strength model and its generalizations.
|d River Edge, NJ : World Scientific, ©2003
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