Extreme Value and Related Models with Applications in Engineering and Science
By Enrique Castillo, Ali S. Hadi, N. Balakrishnan, Jose M. Sarabia
Publisher: Wiley-Interscience
Number Of Pages: 362
Publication Date: 2004-11-04
ISBN-10 / ASIN: 047167172X
ISBN-13 / EAN: 9780471671725
Binding: Hardcover
Product Description:
Here's an elementary and comprehensive discussion on extreme value and related models. By using a large number of practical data from different science and engineering disciplines, it illustrates the practical importance and usefulness of extreme value modeling. Unusual, provocative, and concrete examples are derived from areas such as ocean engineering, structural engineering, hydraulics, meteorology, materials science, fatigue studies, electrical strength of materials, highway traffic analysis, corrosion science, environmetrics, climatology, among others.
* Emphasizes lucid and analytic explanations of the data in the context of a global world.
* Presents specific data in wind, flood, wave, Houmb's, Ocmulgee River, oldest age at death in Sweden, telephone calls, epicenter, chain strength, electrical insulation, fatigue, precipitation, and Bilbao wave heights phenomena.
* Discusses different types of inference, extreme value regression, and handling of outliers.
Summary: good mix of theory and application
Rating: 4
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.
pdf 12MB