Extreme Value Theory In Engineering
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Extreme Value Theory In Engineering
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Author : Enrique Castillo
language : en
Publisher: Elsevier
Release Date : 2012-12-02
Extreme Value Theory In Engineering written by Enrique Castillo and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Mathematics categories.
This book is a comprehensive guide to extreme value theory in engineering. Written for the end user with intermediate and advanced statistical knowledge, it covers classical methods as well as recent advances. A collection of 150 examples illustrates the theoretical results and takes the reader from simple applications through complex cases of dependence.
Extreme Value Theory
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Author : Laurens de Haan
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-09
Extreme Value Theory written by Laurens de Haan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-09 with Mathematics categories.
Extreme Value Theory offers a careful, coherent exposition of the subject starting from the probabilistic and mathematical foundations and proceeding to the statistical theory. The book covers both the classical one-dimensional case as well as finite- and infinite-dimensional settings. All the main topics at the heart of the subject are introduced in a systematic fashion so that in the final chapter even the most recent developments in the theory can be understood. The treatment is geared toward applications. The presentation concentrates on the probabilistic and statistical aspects of extreme values such as limiting results, domains of attraction and development of estimators without emphasizing related topics such as point processes, empirical distribution functions and Brownian motion. An appendix on regular variation has been added since some required results in that area are not available in book form. The usefulness of the statistical theory is shown by treating several case studies in detail. The book is a thorough, accessible, self-contained, graduate level treatment of modern extreme value theory and some of its applications. It is aimed at graduate students and researchers and requires only maturity in mathematics and statistics.
Extreme Values Regular Variation And Point Processes
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Author : Sidney I. Resnick
language : en
Publisher: Springer
Release Date : 2013-12-20
Extreme Values Regular Variation And Point Processes written by Sidney I. Resnick and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-20 with Mathematics categories.
Extremes Values, Regular Variation and Point Processes is a readable and efficient account of the fundamental mathematical and stochastic process techniques needed to study the behavior of extreme values of phenomena based on independent and identically distributed random variables and vectors. It presents a coherent treatment of the distributional and sample path fundamental properties of extremes and records. It emphasizes the core primacy of three topics necessary for understanding extremes: the analytical theory of regularly varying functions; the probabilistic theory of point processes and random measures; and the link to asymptotic distribution approximations provided by the theory of weak convergence of probability measures in metric spaces. The book is self-contained and requires an introductory measure-theoretic course in probability as a prerequisite. Almost all sections have an extensive list of exercises which extend developments in the text, offer alternate approaches, test mastery and provide for enjoyable muscle flexing by a reader. The material is aimed at students and researchers in probability, statistics, financial engineering, mathematics, operations research, civil engineering and economics who need to know about: asymptotic methods for extremes; models for records and record frequencies; stochastic process and point process methods and their applications to obtaining distributional approximations; pervasive applications of the theory of regular variation in probability theory, statistics and financial engineering. “This book is written in a very lucid way. The style is sober, the mathematics tone is pleasantly conversational, convincing and enthusiastic. A beautiful book!” Bulletin of the Dutch Mathematical Society “This monograph is written in a very attractive style. It contains a lot of complementary exercises and practically all important bibliographical reference.” Revue Roumaine deMathématiques Pures et Appliquées
Extreme Value And Related Models With Applications In Engineering And Science
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Author : Enrique Castillo
language : en
Publisher: Wiley-Interscience
Release Date : 2004-11-04
Extreme Value And Related Models With Applications In Engineering And Science written by Enrique Castillo and has been published by Wiley-Interscience this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-11-04 with Mathematics categories.
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 inference Specific data in such areas as wind, flood, chain strength, electrical insulation, fatigue, precipitation, and wave heights Useful techniques for addressing extreme value problems, including discrete, continuous, univariate, and multivariate models Coverage of order statistics, return period, exceedances and shortfalls, along with detailed explanations on how to obtain exact distributions for these statistics An in-depth look at asymptotic models and the limit distributions of maxima, minima, and other order statistics Enhanced 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.
An Introduction To Statistical Modeling Of Extreme Values
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Author : Stuart Coles
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-27
An Introduction To Statistical Modeling Of Extreme Values written by Stuart Coles and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-27 with Mathematics categories.
Directly oriented towards real practical application, this book develops both the basic theoretical framework of extreme value models and the statistical inferential techniques for using these models in practice. Intended for statisticians and non-statisticians alike, the theoretical treatment is elementary, with heuristics often replacing detailed mathematical proof. Most aspects of extreme modeling techniques are covered, including historical techniques (still widely used) and contemporary techniques based on point process models. A wide range of worked examples, using genuine datasets, illustrate the various modeling procedures and a concluding chapter provides a brief introduction to a number of more advanced topics, including Bayesian inference and spatial extremes. All the computations are carried out using S-PLUS, and the corresponding datasets and functions are available via the Internet for readers to recreate examples for themselves. An essential reference for students and researchers in statistics and disciplines such as engineering, finance and environmental science, this book will also appeal to practitioners looking for practical help in solving real problems. Stuart Coles is Reader in Statistics at the University of Bristol, UK, having previously lectured at the universities of Nottingham and Lancaster. In 1992 he was the first recipient of the Royal Statistical Society's research prize. He has published widely in the statistical literature, principally in the area of extreme value modeling.
Extreme Value Distributions
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Author : Samuel Kotz
language : en
Publisher: World Scientific
Release Date : 2000
Extreme Value Distributions written by Samuel Kotz and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
This important book provides an up-to-date comprehensive and down-to-earth survey of the theory and practice of extreme value distributions OCo one of the most prominent success stories of modern applied probability and statistics. Originated by E J Gumbel in the early forties as a tool for predicting floods, extreme value distributions evolved during the last 50 years into a coherent theory with applications in practically all fields of human endeavor where maximal or minimal values (the so-called extremes) are of relevance. The book is of usefulness both for a beginner with a limited probabilistic background and to expert in the field. Sample Chapter(s). Chapter 1.1: Historical Survey (139 KB). Chapter 1.2: The Three Types of Extreme Value Distributions (146 KB). Chapter 1.3: Limiting Distributions and Domain of Attraction (210 KB). Chapter 1.4: Distribution Function and Moments of Type 1 Distribution (160 KB). Chapter 1.5: Order Statistics, Record Values and Characterizations (175 KB). Contents: Univariate Extreme Value Distributions; Generalized Extreme Value Distributions; Multivariate Extreme Value Distributions. Readership: Applied probabilists, applied statisticians, environmental scientists, climatologists, industrial engineers and management experts."
Extreme Value Theory And Applications
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Author : J. Galambos
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01
Extreme Value Theory And Applications written by J. Galambos and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Mathematics categories.
It appears that we live in an age of disasters: the mighty Missis sippi and Missouri flood millions of acres, earthquakes hit Tokyo and California, airplanes crash due to mechanical failure and the seemingly ever increasing wind speeds make the storms more and more frightening. While all these may seem to be unexpected phenomena to the man on the street, they are actually happening according to well defined rules of science known as extreme value theory. We know that records must be broken in the future, so if a flood design is based on the worst case of the past then we are not really prepared against floods. Materials will fail due to fatigue, so if the body of an aircraft looks fine to the naked eye, it might still suddenly fail if the aircraft has been in operation over an extended period of time. Our theory has by now penetrated the so cial sciences, the medical profession, economics and even astronomy. We believe that our field has come of age. In or~er to fully utilize the great progress in the theory of extremes and its ever increasing acceptance in practice, an international conference was organized in which equal weight was given to theory and practice. This book is Volume I of the Proceedings of this conference. In selecting the papers for Volume lour guide was to have authoritative works with a large variety of coverage of both theory and practice.
Statistics Of Extremes
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Author : Emil Julius Gumbel
language : en
Publisher: Courier Corporation
Release Date : 2004-07-15
Statistics Of Extremes written by Emil Julius Gumbel and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-07-15 with Mathematics categories.
Universally acknowledged as the classic text in its field, this volume covers order statistics and their exceedances; exact distribution of extremes; analytical study of extremes; the 1st asymptotic distribution; uses of the 1st, 2nd, and 3rd asymptotes; and the range summary. 1958 edition. Includes 44 tables and 97 graphs.
Statistical Theory Of Extreme Values And Some Practical Applications
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Author : Emil Julius Gumbel
language : en
Publisher:
Release Date : 1954
Statistical Theory Of Extreme Values And Some Practical Applications written by Emil Julius Gumbel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1954 with Mathematical statistics categories.