The Stress-strength Model and Its Generalizations: Theory and Applications

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World Scientific, 2003 - 253 pages
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This important book presents developments in a remarkable field ofinquiry in statistical/probability theory the stressOCostrengthmodel.Many papers in the field include the enigmatic words"P"("X"Y") or something similar in thetitle."

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Preface vii
The Theory and Some Useful Approaches
Parametric Point Estimation
Parametric Statistical 1nference
Nonparametric Models
Some Selected Special Cases
Applications and Examples

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Page v - century a special meaning to a modern person. We all are continuously under stress, and, alas, not always have the “strength” to overcome it. The stress-strength relationship is nowadays studied in many branches of science such as psychology, medicine, pedagogy, etc. and the pharmaceutical industry accumulates
Page v - alleviate psychological stresses. Broadly speaking, the term stress is used nowadays in two different meanings: 1) structural, mechanical (or engineering) stress studied in the engineering discipline called “strength of materials”, and more
Page v - of gunshot - which the brain interprets as dangerous”. Another way of describing this concept is “a demand, threat or other event that requires an individual to
Page 2 - strength” of the component available to overcome the stress. According to this simplified scenario if the stress exceeds the strength
Page 2 - appears in the title of Church and Harris (1970) . This is the earliest date in our bibliography though earlier
Page 3 - tail of the strength distribution can make the failure probability far higher than may be desirable, particularly,

About the author (2003)

N. BALAKRISHNAN, PhD, is a Professor in the Department of Mathematics and Statistics at McMaster University, Hamilton, Ontario, Canada. He has published widely in different areas of statistics including distribution theory, order statistics and reliability. He has authored a number of books including four volumes in "Distributions in Statistics Series" of Wiley, coauthored with N. L. Johnson and S. Kotz. He is a Fellow of the American Statistical Association and an Elected Member of the International Statistical Institute.

CAMPBELL B. READ, PhD, is Professor Emeritus of Statistical Science at the Institute for the Study of Earth and Man at Southern Methodist University in Dallas, Texas. He studied mathematics at the University of Cambridge in England, and obtained a PhD in mathematical statistics from the University of North Carolina at Chapel Hill. He is the author of several research papers in sequential analysis, properties of statistical distributions, and contingency table analysis. He is the author of several biographies appearing in "Leading Personalities in Statistical Sciences" and of various entries in this Encyclopedia, and is a coauthor of "Handbook of the Normal Distribution," He is an elected member of the International Statistical institute, has served on the faculty of the American University of Beirut, Lebanon, and was a Senior Research Scholar in 1987 at Corpus Christi College, University of Cambridge.

BRANI VIDAKOVIC, PhD, is Professor of Statistics at The Wallace H. Coulter Department of Biomedical Engineering at Georgia Institute of Technology, Atlanta, Georgia. He obtained a BS and MS in mathematics at the University of Belgrade, Serbia, and a PhD instatistics at Purdue University, West Lafayette, Indiana. He is the author or coauthor of several books and numerous research papers on minimax theory, wavelets and computational and applied statistics. Dr. Vidakovic is a member of the Institute of Mathematical Statistics, American Statistical Association, International Society for Bayesian Analysis, and Bernoulli Society, and an elected member of the International Statistical Institute.

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