Extreme Value and Related Models with Applications in Engineering and Science 1st Edition by Enrique Castillo (PDF)

Description

A straightforward, practical guide to extreme value modeling for today’s world Measuring and interpreting data for extreme values presents a unique and important challenge that has far-reaching implications for all aspects of modern engineering and science. Extreme Value and Related Models with Applications in Engineering and Science reflects the latest information in this growing field. The book incorporates illuminating real-world examples from such areas as structural engineering, hydraulics, meteorology, materials science, highway traffic analysis, environmetrics, and climatology, and is designed to help engineers, mathematicians, statisticians, and scientists gain a clearer understanding of extreme value theory and then translate that knowledge into practical applications within their own fields of research.The book provides:A unique focus on modern topics including data analysis and inferenceSpecific data in such areas as wind, flood, chain strength, electrical insulation, fatigue, precipitation, and wave heightsUseful techniques for addressing extreme value problems, including discrete, continuous, univariate, and multivariate modelsCoverage of order statistics, return period, exceedances and shortfalls, along with detailed explanations on how to obtain exact distributions for these statisticsAn in-depth look at asymptotic models and the limit distributions of maxima, minima, and other order statisticsEnhanced with numerous graphs and exercises, plus an extensive bibliography for further study, this text is an important reference source for engineers designing structures that will withstand even the most extreme circumstances.

User’s Reviews

Editorial Reviews: Review “This text provides an extensive coverage of the distribution theory of extreme values…the text is well presented with clearly displayed equations and diagrams…a particularly useful reference book…” (International Statistical Institute, Vol 25 (2) August 2005) From the Inside Flap A straightforward, practical guide to extreme value modeling for today’s world Measuring and interpreting data for extreme values presents a unique and important challenge that has far-reaching implications for all aspects of modern engineering and science. Extreme Value and Related Models with Applications in Engineering and Science reflects the latest information in this growing field. The book incorporates illuminating real-world examples from such areas as structural engineering, hydraulics, meteorology, materials science, highway traffic analysis, environmetrics, and climatology, and is designed to help engineers, mathematicians, statisticians, and scientists gain a clearer understanding of extreme value theory and then translate that knowledge into practical applications within their own fields of research.The book provides:A unique focus on modern topics including data analysis and inferenceSpecific data in such areas as wind, flood, chain strength, electrical insulation, fatigue, precipitation, and wave heightsUseful techniques for addressing extreme value problems, including discrete, continuous, univariate, and multivariate modelsCoverage of order statistics, return period, exceedances and shortfalls, along with detailed explanations on how to obtain exact distributions for these statisticsAn in-depth look at asymptotic models and the limit distributions of maxima, minima, and other order statisticsEnhanced with numerous graphs and exercises, plus an extensive bibliography for further study, this text is an important reference source for engineers designing structures that will withstand even the most extreme circumstances. From the Back Cover A straightforward, practical guide to extreme value modeling for today’s world Measuring and interpreting data for extreme values presents a unique and important challenge that has far-reaching implications for all aspects of modern engineering and science. Extreme Value and Related Models with Applications in Engineering and Science reflects the latest information in this growing field. The book incorporates illuminating real-world examples from such areas as structural engineering, hydraulics, meteorology, materials science, highway traffic analysis, environmetrics, and climatology, and is designed to help engineers, mathematicians, statisticians, and scientists gain a clearer understanding of extreme value theory and then translate that knowledge into practical applications within their own fields of research.The book provides:A unique focus on modern topics including data analysis and inferenceSpecific data in such areas as wind, flood, chain strength, electrical insulation, fatigue, precipitation, and wave heightsUseful techniques for addressing extreme value problems, including discrete, continuous, univariate, and multivariate modelsCoverage of order statistics, return period, exceedances and shortfalls, along with detailed explanations on how to obtain exact distributions for these statisticsAn in-depth look at asymptotic models and the limit distributions of maxima, minima, and other order statisticsEnhanced with numerous graphs and exercises, plus an extensive bibliography for further study, this text is an important reference source for engineers designing structures that will withstand even the most extreme circumstances. About the Author ENRIQUE CASTILLO, PhD, is a Professor of Applied Mathematics at the University of Cantabria in Santander, Spain. He is a mathematician and a civil engineer and member of the Spanish Royal Academy of Engineering. ALI S. HADI, PhD, is a Professor of Mathematical, Statistical, and Computational Sciences at the American University in Cairo, Egypt. He is a Stephen H. Weiss Presidential Fellow and Professor Emeritus at Cornell University.N. BALAKRISHNAN, PhD, is a Professor in the Department of Mathematics and Statistics at McMaster University in Ontario, Canada. He is a Fellow of the American Statistical Association and currently the Editor-in-Chief of Communications in Statistics and Wiley’s Encyclopedia of Statistical Sciences, Second Edition.JOSÉ M. SARABIA, PhD, is a Professor of Statistics in the Department of Economics at the University of Cantabria, Spain. He is a member of the American Statistical Association and is Associate Editor of the journal Test. Read more

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Extreme value theory has many applications in various engineering industries and environmental monitoring. When I was a graduate student at Stanford we did research on environmental pollution monitoring and extremes played a role in determining thresholds to set for the continuous monitoring of the San Francisco Bay area. My PhD research was in the limit theory for extremes from stationary dependent processes. In this book Castillo provides results and references covering the key results that can be found in the more theoretical books such as Galambos and the Leadbetter, Lindgren and Rootzen text. Most texts prior to this one concentrate on theory. The first book by Gumbel in 1958 dealt with applications and the theory for independent random variables.I was gratified to see some of my publications cited in Castillo’s first text. There has been much more theoretical development and very little literature and texts on applications prior to that book. However there was a push by the researchers in extreme values and the National Institute of Standards and Technology (NIST) to develop more applications. Stefan Leigh from NIST helped organize a conference at NIST in Gaithersburg Maryland where many of the prominent researchers came and gave papers with applications being the main theme.So, in recent years there have been several good books published (nearly a dozen) that provide the theory and the applications in areas like hydrology. geology and environmental science.This book coauthored with Hadi and others stands out with several others now as a good reference for both the theory and the practical applications and this is much more suitable for a first course in extremes.The extension of the theory to dependent situations definitely broaden the scope of applications and the text by Leadbetter, Lindgren and Rootzen was the first to present those results in a cohesive and well organized manner.

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