Extreme Value Theory for Moving Average Processes PDF Download
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Author: Holger Rootzén
Publisher:
ISBN:
Category :
Languages : en
Pages : 76
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Book Description
Author: Holger Rootzén
Publisher:
ISBN:
Category :
Languages : en
Pages : 76
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Book Description
Author: Thomas Mikosch
Publisher: Springer Nature
ISBN: 3031591569
Category :
Languages : en
Pages : 768
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Book Description
Author: Sidney I. Resnick
Publisher: Springer
ISBN: 0387759530
Category : Mathematics
Languages : en
Pages : 334
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Book Description
This book examines 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 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.
Author: Janos Galambos
Publisher: Springer Science & Business Media
ISBN: 9780792328650
Category : Mathematics
Languages : en
Pages : 544
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Book Description
The contributions in this volume represent a selection of the papers presented at the Conference on Extreme Value Theory and Applications held in Gaithersburg, Maryland in 1993. Recent rapid advancement in the theory of extremes, in the statistical inference of extreme-related problems and the ever-increasing acceptance of the theory in applications brought together the leading experts in the fields of model building statistics, engineering and business, whose authoritative presentations on these matters are published in this volume. A variety of engineering applications are covered: strength due to fatigue failure, bundle strength of fibre, longest living humans, concomitants of extremes such as characteristics of offspring of the present generation, long-run asset risk, reinsurance, high winds, and other applications. The theoreticians address model building and the newest results of statistical inference, including Bayesian methods. This is the first such mix of the theory and applications of extremes to be published. For statisticians, mathematicians, engineers and business professionals with a basic knowledge of probability and statistics.
Author: Laurens de Haan
Publisher: Springer Science & Business Media
ISBN: 0387344713
Category : Mathematics
Languages : en
Pages : 421
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Book Description
Focuses on theoretical results along with applications All the main topics covering the heart of the subject are introduced to the reader in a systematic fashion Concentration is on the probabilistic and statistical aspects of extreme values Excellent introduction to extreme value theory at the graduate level, requiring only some mathematical maturity
Author: Stuart Coles
Publisher: Springer Science & Business Media
ISBN: 1447136756
Category : Mathematics
Languages : en
Pages : 219
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Book Description
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.
Author: J. Galambos
Publisher: Springer Science & Business Media
ISBN: 1461336384
Category : Mathematics
Languages : en
Pages : 526
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Book Description
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.
Author: D N Shanbhag
Publisher: Gulf Professional Publishing
ISBN: 9780444500137
Category : Mathematics
Languages : en
Pages : 1028
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Book Description
This sequel to volume 19 of Handbook on Statistics on Stochastic Processes: Modelling and Simulation is concerned mainly with the theme of reviewing and, in some cases, unifying with new ideas the different lines of research and developments in stochastic processes of applied flavour. This volume consists of 23 chapters addressing various topics in stochastic processes. These include, among others, those on manufacturing systems, random graphs, reliability, epidemic modelling, self-similar processes, empirical processes, time series models, extreme value therapy, applications of Markov chains, modelling with Monte Carlo techniques, and stochastic processes in subjects such as engineering, telecommunications, biology, astronomy and chemistry. particular with modelling, simulation techniques and numerical methods concerned with stochastic processes. The scope of the project involving this volume as well as volume 19 is already clarified in the preface of volume 19. The present volume completes the aim of the project and should serve as an aid to students, teachers, researchers and practitioners interested in applied stochastic processes.
![Extremes of Moving Averages of Ramdon [i.e. Random] Variables from the Domain of Attraction of the Double Exponential Distribution PDF](https://books.google.com/books/content/images/frontcover/zPFUAAAAYAAJ?fife=w80-h100)
Author: Richard Davis
Publisher:
ISBN:
Category : Distribution (Probability theory)
Languages : en
Pages : 66
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Book Description
Author: Jürg Hüsler
Publisher: Springer Science & Business Media
ISBN: 1461236347
Category : Mathematics
Languages : en
Pages : 290
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Book Description
The urgent need to describe and to solve certain problems connected to extreme phenomena in various areas of applications has been of decisive influence on the vital development of extreme value theory. After the pioneering work of M. Frechet (1927) and of R.A. Fisher and L.R.C. Tippett (1928), who discovered the limiting distributions of extremes, the importance of mathematical concepts of extreme behavior in applications was impressively demonstrated by statisticians like E.J. Gumbel and W. Weibull. The predominant role of applied aspects in that early period may be highlighted by the fact that two of the "Fisher-Tippett asymptotes" also carry the names of Gumbel and Weibull. In the last years, the complexity of problems and their tractability by mathematical methods stimulated a rapid development of mathematical theory that substantially helped to improve our understanding of extreme behavior. Due to the depth and richness of mathematical ideas, extreme value theory has become more and more of interest for mathematically oriented research workers. This was one of the reasons to organize a conference on extreme value theory which was held at the Mathematische Forschungsinstitut at Oberwolfach (FRG) in December 1987.
