Extreme Values

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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

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.

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.

Statistical Analysis Of Extreme Values

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Author : Rolf-Dieter Reiss
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-06-21

Statistical Analysis Of Extreme Values written by Rolf-Dieter Reiss 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 2007-06-21 with Business & Economics categories.

This is a self-contained introduction to parametric modeling, exploratory analysis and statistical interference for extreme values, as used in disciplines from hydrology to finance to environmental science. Updated and expanded by 100 pages.

Extreme Values In Finance Telecommunications And The Environment

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Author : Barbel Finkenstadt
language : en
Publisher: CRC Press
Release Date : 2003-07-28

Extreme Values In Finance Telecommunications And The Environment written by Barbel Finkenstadt and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-28 with Mathematics categories.

Because of its potential to ...predict the unpredictable,... extreme value theory (EVT) and methodology is currently receiving a great deal of attention from statistical and mathematical researchers. This book brings together world-recognized authorities in their respective fields to provide expository chapters on the applications, use, and theory of extreme values in the areas of finance, insurance, the environment, and telecommunications. The comprehensive introductory chapter by Richard Smith ensures a high level of cohesion for this volume.

Advances In Regression Survival Analysis Extreme Values Markov Processes And Other Statistical Applications

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Author : João Lita da Silva
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-14

Advances In Regression Survival Analysis Extreme Values Markov Processes And Other Statistical Applications written by João Lita da Silva 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 2013-06-14 with Mathematics categories.

This volume of the Selected Papers from Portugal is a product of the Seventeenth Congress of the Portuguese Statistical Society, held at the beautiful resort seaside city of Sesimbra, Portugal, from September 30 to October 3, 2009. It covers a broad scope of theoretical, methodological as well as application-oriented articles in domains such as: Linear Models and Regression, Survival Analysis, Extreme Value Theory, Statistics of Diffusions, Markov Processes and other Statistical Applications.

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.

Statistics Of Extreme Values

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Author : Rajendra G Gurao
language : en
Publisher: Lulu.com
Release Date :

Statistics Of Extreme Values written by Rajendra G Gurao and has been published by Lulu.com this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.

Extreme Values In Random Sequences

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Author : Pavle Mladenović
language : en
Publisher: Springer Nature
Release Date : 2024-05-17

Extreme Values In Random Sequences written by Pavle Mladenović and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-17 with Mathematics categories.

The main subject is the probabilistic extreme value theory. The purpose is to present recent results related to limiting distributions of maxima in incomplete samples from stationary sequences, and results related to extremal properties of different combinatorial configurations. The necessary contents related to regularly varying functions and basic results of extreme value theory are included in the first two chapters with examples, exercises and supplements. The motivation for consideration maxima in incomplete samples arises from the fact that real data are often incomplete. A sequence of observed random variables from a stationary sequence is also stationary only in very special cases. Hence, the results provided in the third chapter are also related to non-stationary sequences. The proof of theorems related to joint limiting distribution of maxima in complete and incomplete samples requires a non-trivial combination of combinatorics and point process theory. Chapter four provides results on the asymptotic behavior of the extremal characteristics of random permutations, the coupon collector's problem, the polynomial scheme, random trees and random forests, random partitions of finite sets, and the geometric properties of samples of random vectors. The topics presented here provide insight into the natural connections between probability theory and algebra, combinatorics, graph theory and combinatorial geometry. The contents of the book may be useful for graduate students and researchers who are interested in probabilistic extreme value theory and its applications.

Extreme Value Modeling And Risk Analysis

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Author : Dipak K. Dey
language : en
Publisher: CRC Press
Release Date : 2016-01-06

Extreme Value Modeling And Risk Analysis written by Dipak K. Dey and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-01-06 with Mathematics categories.

Extreme Value Modeling and Risk Analysis: Methods and Applications presents a broad overview of statistical modeling of extreme events along with the most recent methodologies and various applications. The book brings together background material and advanced topics, eliminating the need to sort through the massive amount of literature on the subje