Extreme Values In Random Sequences

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Publisher : Springer Nature
ISBN 13 : 3031574125
Total Pages : 287 pages
Book Rating : 4.0/5 (315 download)

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Book Synopsis Extreme Values In Random Sequences by : Pavle Mladenović

Download or read book Extreme Values In Random Sequences written by Pavle Mladenović and published by Springer Nature. This book was released on with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Extremes and Related Properties of Random Sequences and Processes

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1461254493
Total Pages : 344 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Extremes and Related Properties of Random Sequences and Processes by : M. R. Leadbetter

Download or read book Extremes and Related Properties of Random Sequences and Processes written by M. R. Leadbetter and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classical Extreme Value Theory-the asymptotic distributional theory for maxima of independent, identically distributed random variables-may be regarded as roughly half a century old, even though its roots reach further back into mathematical antiquity. During this period of time it has found significant application-exemplified best perhaps by the book Statistics of Extremes by E. J. Gumbel-as well as a rather complete theoretical development. More recently, beginning with the work of G. S. Watson, S. M. Berman, R. M. Loynes, and H. Cramer, there has been a developing interest in the extension of the theory to include, first, dependent sequences and then continuous parameter stationary processes. The early activity proceeded in two directions-the extension of general theory to certain dependent sequences (e.g., Watson and Loynes), and the beginning of a detailed theory for stationary sequences (Berman) and continuous parameter processes (Cramer) in the normal case. In recent years both lines of development have been actively pursued.

Extreme Values of Random Sequences

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Publisher :
ISBN 13 :
Total Pages : 98 pages
Book Rating : 4.:/5 (776 download)

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Book Synopsis Extreme Values of Random Sequences by : Li Zhang

Download or read book Extreme Values of Random Sequences written by Li Zhang and published by . This book was released on 2011 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis, we introduce asymptotic distribution and statistical theories of extreme values (maximum or minimum) of sequences of random variables. These sequences of random variables are assumed to be independent and identically distributed, stationary or non-stationary, respectively. We apply extreme value theories to the first difference stationary time series to model the maximum values. An example of lake level data, daily recorded across more than thirty years, is considered.

Statistics of Extremes and Records in Random Sequences

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Publisher : Oxford University Press
ISBN 13 : 0192517880
Total Pages : 257 pages
Book Rating : 4.1/5 (925 download)

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Book Synopsis Statistics of Extremes and Records in Random Sequences by : Satya N. Majumdar

Download or read book Statistics of Extremes and Records in Random Sequences written by Satya N. Majumdar and published by Oxford University Press. This book was released on 2024-05-16 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rare events such as earthquakes, tsunamis, floods etc do not fortunately occur every day, but when they do, their effects are devastating. These days, such rare events are particularly important to understand to characterize the global warming and climate changes. In addition to natural catastrophes, rare events such as big financial crashes also play a significant role in economy. In the absence of predictive models, the best way forward is to analyse the statistics of these extreme events and draw conclusions from it about the probability of their occurrences. Extreme value statistics (EVS) and the statistics of records in a random sequence are examples of a truly interdisciplinary topic, spanning from statistics and mathematics on one side to physics of disordered systems on the other. They have tremendous importance and practical applications in a wide variety of fields, such as climate science, finance, spin-glasses, and random matrices. Statistics and mathematical literature have explored the subject of the classical theory of EVS. However, more recently, EVS started to play a very important role in statistical physics, in particular in disordered systems. This has led to a plethora of activities, both in the statistical physics and in the mathematics communities over the last few decades. This book develops the theory of rare events, both for the classical uncorrelated as well as for correlated sequences, in terms of simple models and examples. Statistics of Extremes and Records in Random Sequences is a pedagogical book with examples illustrating the basic tools and techniques that are essential to a student starting to work in this interesting and rapidly developing field.

Extreme Values, Regular Variation and Point Processes

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Publisher : Springer
ISBN 13 : 0387759530
Total Pages : 334 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Extreme Values, Regular Variation and Point Processes by : Sidney I. Resnick

Download or read book Extreme Values, Regular Variation and Point Processes written by Sidney I. Resnick and published by Springer. This book was released on 2013-12-20 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Laws of Small Numbers: Extremes and Rare Events

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Publisher : Birkhäuser
ISBN 13 : 3034877919
Total Pages : 381 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Laws of Small Numbers: Extremes and Rare Events by : Michael Falk

Download or read book Laws of Small Numbers: Extremes and Rare Events written by Michael Falk and published by Birkhäuser. This book was released on 2013-11-11 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the publication of the first edition of this seminar book, the theory and applications of extremes and rare events have seen increasing interest. Laws of Small Numbers gives a mathematically oriented development of the theory of rare events underlying various applications. The new edition incorporates numerous new results on about 130 additional pages. Part II, added in the second edition, discusses recent developments in multivariate extreme value theory.

Extreme Values of Non-Stationary Sequences and the Extremal Index

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Publisher :
ISBN 13 :
Total Pages : 17 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis Extreme Values of Non-Stationary Sequences and the Extremal Index by : Jürg Hüsler

Download or read book Extreme Values of Non-Stationary Sequences and the Extremal Index written by Jürg Hüsler and published by . This book was released on 1982 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: The conditions used to generalize the extreme value theory for stationary random sequences to non-stationary sequences are studied with respect to their necessity. The authors find that the extremal index, defined in the stationary case, plays a similar role in the non-stationary case. The details show that this index describes not only the behavior of exceedances above a high level constant boundary, but also above a non-constant high level boundary.

An Introduction to Statistical Modeling of Extreme Values

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Publisher : Springer Science & Business Media
ISBN 13 : 1447136756
Total Pages : 219 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis An Introduction to Statistical Modeling of Extreme Values by : Stuart Coles

Download or read book An Introduction to Statistical Modeling of Extreme Values written by Stuart Coles and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Values in Finance, Telecommunications, and the Environment

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Publisher : CRC Press
ISBN 13 : 0203483359
Total Pages : 422 pages
Book Rating : 4.2/5 (34 download)

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Book Synopsis Extreme Values in Finance, Telecommunications, and the Environment by : Barbel Finkenstadt

Download or read book Extreme Values in Finance, Telecommunications, and the Environment written by Barbel Finkenstadt and published by CRC Press. This book was released on 2003-07-28 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Extreme Value Methods with Applications to Finance

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Publisher : CRC Press
ISBN 13 : 1439835756
Total Pages : 397 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Extreme Value Methods with Applications to Finance by : Serguei Y. Novak

Download or read book Extreme Value Methods with Applications to Finance written by Serguei Y. Novak and published by CRC Press. This book was released on 2011-12-20 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: Extreme value theory (EVT) deals with extreme (rare) events, which are sometimes reported as outliers. Certain textbooks encourage readers to remove outliers-in other words, to correct reality if it does not fit the model. Recognizing that any model is only an approximation of reality, statisticians are eager to extract information about unknown di

Extreme Events in Finance

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Publisher : John Wiley & Sons
ISBN 13 : 1118650204
Total Pages : 690 pages
Book Rating : 4.1/5 (186 download)

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Book Synopsis Extreme Events in Finance by : Francois Longin

Download or read book Extreme Events in Finance written by Francois Longin and published by John Wiley & Sons. This book was released on 2016-09-30 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt: A guide to the growing importance of extreme value risk theory, methods, and applications in the financial sector Presenting a uniquely accessible guide, Extreme Events in Finance: A Handbook of Extreme Value Theory and Its Applications features a combination of the theory, methods, and applications of extreme value theory (EVT) in finance and a practical understanding of market behavior including both ordinary and extraordinary conditions. Beginning with a fascinating history of EVTs and financial modeling, the handbook introduces the historical implications that resulted in the applications and then clearly examines the fundamental results of EVT in finance. After dealing with these theoretical results, the handbook focuses on the EVT methods critical for data analysis. Finally, the handbook features the practical applications and techniques and how these can be implemented in financial markets. Extreme Events in Finance: A Handbook of Extreme Value Theory and Its Applications includes: Over 40 contributions from international experts in the areas of finance, statistics, economics, business, insurance, and risk management Topical discussions on univariate and multivariate case extremes as well as regulation in financial markets Extensive references in order to provide readers with resources for further study Discussions on using R packages to compute the value of risk and related quantities The book is a valuable reference for practitioners in financial markets such as financial institutions, investment funds, and corporate treasuries, financial engineers, quantitative analysts, regulators, risk managers, large-scale consultancy groups, and insurers. Extreme Events in Finance: A Handbook of Extreme Value Theory and Its Applications is also a useful textbook for postgraduate courses on the methodology of EVTs in finance.

Extreme Value Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 1461236347
Total Pages : 290 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Extreme Value Theory by : Jürg Hüsler

Download or read book Extreme Value Theory written by Jürg Hüsler and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Extreme Value Theory and Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 1461336384
Total Pages : 526 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Extreme Value Theory and Applications by : J. Galambos

Download or read book Extreme Value Theory and Applications written by J. Galambos and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Sojourns And Extremes of Stochastic Processes

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Publisher : Routledge
ISBN 13 : 1351415638
Total Pages : 318 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Sojourns And Extremes of Stochastic Processes by : Simeon Berman

Download or read book Sojourns And Extremes of Stochastic Processes written by Simeon Berman and published by Routledge. This book was released on 2017-07-12 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sojourns and Extremes of Stochastic Processes is a research monograph in the area of probability theory. During the past thirty years Berman has made many contributions to the theory of the extreme values and sojourn times of the sample functions of broad classes of stochastic processes. These processes arise in theoretical and applied models, and are presented here in a unified exposition.

Extreme Value Distributions

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Publisher : Springer
ISBN 13 : 9462392226
Total Pages : 141 pages
Book Rating : 4.4/5 (623 download)

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Book Synopsis Extreme Value Distributions by : Mohammad Ahsanullah

Download or read book Extreme Value Distributions written by Mohammad Ahsanullah and published by Springer. This book was released on 2016-09-15 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the book is to give a through account of the basic theory of extreme value distributions. The book cover a wide range of materials available to date. The central ideas and results of extreme value distributions are presented. The book rwill be useful o applied statisticians as well statisticians interrested to work in the area of extremen value distributions.vmonograph presents the central ideas and results of extreme value distributions.The monograph gives self-contained of theory and applications of extreme value distributions.

Extreme Value Theory for Time Series

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Publisher : Springer Nature
ISBN 13 : 3031591569
Total Pages : 768 pages
Book Rating : 4.0/5 (315 download)

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Book Synopsis Extreme Value Theory for Time Series by : Thomas Mikosch

Download or read book Extreme Value Theory for Time Series written by Thomas Mikosch and published by Springer Nature. This book was released on with total page 768 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advances in Regression, Survival Analysis, Extreme Values, Markov Processes and Other Statistical Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 3642349048
Total Pages : 465 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Advances in Regression, Survival Analysis, Extreme Values, Markov Processes and Other Statistical Applications by : João Lita da Silva

Download or read book Advances in Regression, Survival Analysis, Extreme Values, Markov Processes and Other Statistical Applications written by João Lita da Silva and published by Springer Science & Business Media. This book was released on 2013-06-14 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.