An Introduction To Statistical Modeling Of Extreme Values

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An Introduction to Statistical Modeling of Extreme Values

Author : Stuart Coles
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 Value Theory

Author : Laurens de Haan
Publisher : Springer Science & Business Media
ISBN 13 : 0387344713
Total Pages : 421 pages
Book Rating : 4.3/5 (873 download)

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Book Synopsis Extreme Value Theory by : Laurens de Haan

Download or read book Extreme Value Theory written by Laurens de Haan and published by Springer Science & Business Media. This book was released on 2007-12-09 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Statistical Analysis of Extreme Values

Author : Rolf-Dieter Reiss
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (879 download)

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Book Synopsis Statistical Analysis of Extreme Values by : Rolf-Dieter Reiss

Download or read book Statistical Analysis of Extreme Values written by Rolf-Dieter Reiss and published by . This book was released on 1997 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Statistical Analysis of Extreme Values

Author : Rolf-Dieter Reiss
Publisher : Springer Science & Business Media
ISBN 13 : 3764373997
Total Pages : 511 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Statistical Analysis of Extreme Values by : Rolf-Dieter Reiss

Download or read book Statistical Analysis of Extreme Values written by Rolf-Dieter Reiss and published by Springer Science & Business Media. This book was released on 2007-08-08 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical analysis of extreme data is vital to many disciplines including hydrology, insurance, finance, engineering and environmental sciences. This book provides a self-contained introduction to parametric modeling, exploratory analysis and statistical interference for extreme values. For this Third Edition, the entire text has been thoroughly updated and rearranged to meet contemporary requirements, with new sections and chapters address such topics as dependencies, the conditional analysis and the multivariate modeling of extreme data. New chapters include An Overview of Reduced-Bias Estimation; The Spectral Decomposition Methodology; About Tail Independence; and Extreme Value Statistics of Dependent Random Variables.

Extreme Value Theory with Applications to Natural Hazards

Author : Nicolas Bousquet
Publisher : Springer Nature
ISBN 13 : 3030749428
Total Pages : 491 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Extreme Value Theory with Applications to Natural Hazards by : Nicolas Bousquet

Download or read book Extreme Value Theory with Applications to Natural Hazards written by Nicolas Bousquet and published by Springer Nature. This book was released on 2021-10-09 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: This richly illustrated book describes statistical extreme value theory for the quantification of natural hazards, such as strong winds, floods and rainfall, and discusses an interdisciplinary approach to allow the theoretical methods to be applied. The approach consists of a number of steps: data selection and correction, non-stationary theory (to account for trends due to climate change), and selecting appropriate estimation techniques based on both decision-theoretic features (e.g., Bayesian theory), empirical robustness and a valid treatment of uncertainties. It also examines and critically reviews alternative approaches based on stochastic and dynamic numerical models, as well as recently emerging data analysis issues and presents large-scale, multidisciplinary, state-of-the-art case studies. Intended for all those with a basic knowledge of statistical methods interested in the quantification of natural hazards, the book is also a valuable resource for engineers conducting risk analyses in collaboration with scientists from other fields (such as hydrologists, meteorologists, climatologists).

Statistical Analysis of Extreme Values

Author : Rolf-Dieter Reiss
Publisher : Birkhäuser
ISBN 13 : 3034863365
Total Pages : 325 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Statistical Analysis of Extreme Values by : Rolf-Dieter Reiss

Download or read book Statistical Analysis of Extreme Values written by Rolf-Dieter Reiss and published by Birkhäuser. This book was released on 2013-10-14 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: The statistical analysis of extreme data is important for various disciplines, including hydrology, insurance, finance, engineering and environmental sciences. This book provides a self-contained introduction to the parametric modeling, exploratory analysis and statistical interference for extreme values. The entire text of this third edition has been thoroughly updated and rearranged to meet the new requirements. Additional sections and chapters, elaborated on more than 100 pages, are particularly concerned with topics like dependencies, the conditional analysis and the multivariate modeling of extreme data. Parts I–III about the basic extreme value methodology remain unchanged to some larger extent, yet notable are, e.g., the new sections about "An Overview of Reduced-Bias Estimation" (co-authored by M.I. Gomes), "The Spectral Decomposition Methodology", and "About Tail Independence" (co-authored by M. Frick), and the new chapter about "Extreme Value Statistics of Dependent Random Variables" (co-authored by H. Drees). Other new topics, e.g., a chapter about "Environmental Sciences", (co--authored by R.W. Katz), are collected within Parts IV–VI.

Statistical Extremes and Applications

Author : J. Tiago de Oliveira
Publisher : Springer Science & Business Media
ISBN 13 : 9401730695
Total Pages : 690 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Statistical Extremes and Applications by : J. Tiago de Oliveira

Download or read book Statistical Extremes and Applications written by J. Tiago de Oliveira and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first references to statistical extremes may perhaps be found in the Genesis (The Bible, vol. I): the largest age of Methu'selah and the concrete applications faced by Noah-- the long rain, the large flood, the structural safety of the ark --. But as the pre-history of the area can be considered to last to the first quarter of our century, we can say that Statistical Extremes emer ged in the last half-century. It began with the paper by Dodd in 1923, followed quickly by the papers of Fre-chet in 1927 and Fisher and Tippett in 1928, after by the papers by de Finetti in 1932, by Gumbel in 1935 and by von Mises in 1936, to cite the more relevant; the first complete frame in what regards probabilistic problems is due to Gnedenko in 1943. And by that time Extremes begin to explode not only in what regards applications (floods, breaking strength of materials, gusts of wind, etc. ) but also in areas going from Proba bility to Stochastic Processes, from Multivariate Structures to Statistical Decision. The history, after the first essential steps, can't be written in few pages: the narrow and shallow stream gained momentum and is now a huge river, enlarging at every moment and flooding the margins. Statistical Extremes is, thus, a clear-cut field of Probability and Statistics and a new exploding area for research.

Extreme Values in Finance, Telecommunications, and the Environment

Author : Barbel Finkenstadt
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

Linear Models in Statistics

Author : Alvin C. Rencher
Publisher : John Wiley & Sons
ISBN 13 : 0470192607
Total Pages : 690 pages
Book Rating : 4.4/5 (71 download)

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Book Synopsis Linear Models in Statistics by : Alvin C. Rencher

Download or read book Linear Models in Statistics written by Alvin C. Rencher and published by John Wiley & Sons. This book was released on 2008-01-07 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt: The essential introduction to the theory and application of linear models—now in a valuable new edition Since most advanced statistical tools are generalizations of the linear model, it is neces-sary to first master the linear model in order to move forward to more advanced concepts. The linear model remains the main tool of the applied statistician and is central to the training of any statistician regardless of whether the focus is applied or theoretical. This completely revised and updated new edition successfully develops the basic theory of linear models for regression, analysis of variance, analysis of covariance, and linear mixed models. Recent advances in the methodology related to linear mixed models, generalized linear models, and the Bayesian linear model are also addressed. Linear Models in Statistics, Second Edition includes full coverage of advanced topics, such as mixed and generalized linear models, Bayesian linear models, two-way models with empty cells, geometry of least squares, vector-matrix calculus, simultaneous inference, and logistic and nonlinear regression. Algebraic, geometrical, frequentist, and Bayesian approaches to both the inference of linear models and the analysis of variance are also illustrated. Through the expansion of relevant material and the inclusion of the latest technological developments in the field, this book provides readers with the theoretical foundation to correctly interpret computer software output as well as effectively use, customize, and understand linear models. This modern Second Edition features: New chapters on Bayesian linear models as well as random and mixed linear models Expanded discussion of two-way models with empty cells Additional sections on the geometry of least squares Updated coverage of simultaneous inference The book is complemented with easy-to-read proofs, real data sets, and an extensive bibliography. A thorough review of the requisite matrix algebra has been addedfor transitional purposes, and numerous theoretical and applied problems have been incorporated with selected answers provided at the end of the book. A related Web site includes additional data sets and SAS® code for all numerical examples. Linear Model in Statistics, Second Edition is a must-have book for courses in statistics, biostatistics, and mathematics at the upper-undergraduate and graduate levels. It is also an invaluable reference for researchers who need to gain a better understanding of regression and analysis of variance.

Statistical Modelling Using Genstat

Author : K. J. McConway
Publisher : Wiley
ISBN 13 : 9780470685686
Total Pages : 0 pages
Book Rating : 4.6/5 (856 download)

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Book Synopsis Statistical Modelling Using Genstat by : K. J. McConway

Download or read book Statistical Modelling Using Genstat written by K. J. McConway and published by Wiley. This book was released on 2009-12-14 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The complete guide to statistical modelling with GENSTAT Focusing on solving practical problems and using real datasets collected during research of various sorts, Statistical Modelling Using GENSTAT emphasizes developing and understanding statistical tools. Throughout the text, these statistical tools are applied to answer the very questions the original researchers sought to answer. GENSTAT, the powerful statistical software, is introduced early in the book and practice problems are carried out using the software, in the process helping students to understand the application of statistical methods to real-world data.

Extreme Value Modeling and Risk Analysis

Author : Dipak K. Dey
Publisher : CRC Press
ISBN 13 : 1498701310
Total Pages : 538 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Extreme Value Modeling and Risk Analysis by : Dipak K. Dey

Download or read book Extreme Value Modeling and Risk Analysis written by Dipak K. Dey and published by CRC Press. This book was released on 2016-01-06 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

On extreme value statistics

Author : Chen Zhou
Publisher : Rozenberg Publishers
ISBN 13 : 9051709129
Total Pages : 224 pages
Book Rating : 4.0/5 (517 download)

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Book Synopsis On extreme value statistics by : Chen Zhou

Download or read book On extreme value statistics written by Chen Zhou and published by Rozenberg Publishers. This book was released on 2008 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the 18th century, statisticians sometimes worked as consultants to gamblers. In order to answer questions like "If a fair coin is flipped 100 times, what is the probability of getting 60 or more heads?", Abraham de Moivre discovered the so-called "normal curve". Independently, Pierre-Simon Laplace derived the central limit theorem, where the normal distribution acts as the limit for the distribution of the sample mean. Nowadays, statisticians sometimes work as consultants for economists, to whom the normal distribution is far from a satisfactory model. For example, one may need to model large-impact financial events in order to to answer questions like "What is the probability of getting into a crisis period similar to the credit squeeze in 2007 in the coming 10 years?". At first glance, estimating the chances of events that rarely happen or even have never happened before sounds like a "mission impossible". The development of Extreme Value Theory (EVT) shows that it is in fact possible to achieve this goal. Different from the central limit theorem, Extreme Value Theory starts from the limit distribution of the sample maximum. Initiated by M. Frechet, R. Fisher and R. von Mises, the limit theory completed by B. Gnedenko, gave the fundamental assumption in EVT, the "extreme value condition". Statistically, the extreme value condition provides a semi-parametric model for the tails of distribution functions. Therefore it can be applied to evaluate the rare events. On the other hand, since the assumption is rather general and natural, the semi-parametric model can have extensive applications in numerous felds.

Extreme Values

Author : Lee Fawcett
Publisher : Wiley
ISBN 13 : 9780470746455
Total Pages : 0 pages
Book Rating : 4.7/5 (464 download)

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Book Synopsis Extreme Values by : Lee Fawcett

Download or read book Extreme Values written by Lee Fawcett and published by Wiley. This book was released on 2023-10-16 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The statistical analysis of extremes is becoming more and more prevalent as we observe increasing levels of variability and turbulence, both in the natural world, and within social organizations such as commercial and financial institutions. In this book, full coverage is given to the analysis of extreme value data using R, providing the reader with the best starting point for analyzing data when the aim is inference about extreme values of the underlying process. The main topics in extreme value analysis are featured, together with a clear practical guide on how to implement the relevant statistical analysis using R. The book is aimed at those needing to carry out extreme value analyses, examples used will be taken from applications in engineering, reliability studies and in financial analysis where extremes are of interest (e.g. insurance/reinsurance).

Statistics

Author : Michael J. Crawley
Publisher : John Wiley & Sons
ISBN 13 : 9780470022986
Total Pages : 348 pages
Book Rating : 4.0/5 (229 download)

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Book Synopsis Statistics by : Michael J. Crawley

Download or read book Statistics written by Michael J. Crawley and published by John Wiley & Sons. This book was released on 2005-05-06 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer software is an essential tool for many statistical modelling and data analysis techniques, aiding in the implementation of large data sets in order to obtain useful results. R is one of the most powerful and flexible statistical software packages available, and enables the user to apply a wide variety of statistical methods ranging from simple regression to generalized linear modelling. Statistics: An Introduction using R is a clear and concise introductory textbook to statistical analysis using this powerful and free software, and follows on from the success of the author's previous best-selling title Statistical Computing. * Features step-by-step instructions that assume no mathematics, statistics or programming background, helping the non-statistician to fully understand the methodology. * Uses a series of realistic examples, developing step-wise from the simplest cases, with the emphasis on checking the assumptions (e.g. constancy of variance and normality of errors) and the adequacy of the model chosen to fit the data. * The emphasis throughout is on estimation of effect sizes and confidence intervals, rather than on hypothesis testing. * Covers the full range of statistical techniques likely to be need to analyse the data from research projects, including elementary material like t-tests and chi-squared tests, intermediate methods like regression and analysis of variance, and more advanced techniques like generalized linear modelling. * Includes numerous worked examples and exercises within each chapter. * Accompanied by a website featuring worked examples, data sets, exercises and solutions: http://www.imperial.ac.uk/bio/research/crawley/statistics Statistics: An Introduction using R is the first text to offer such a concise introduction to a broad array of statistical methods, at a level that is elementary enough to appeal to a broad range of disciplines. It is primarily aimed at undergraduate students in medicine, engineering, economics and biology - but will also appeal to postgraduates who have not previously covered this area, or wish to switch to using R.

The Usability Business

Author : JOANNA BAWA
Publisher : Springer
ISBN 13 : 9781852334840
Total Pages : 164 pages
Book Rating : 4.3/5 (348 download)

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Book Synopsis The Usability Business by : JOANNA BAWA

Download or read book The Usability Business written by JOANNA BAWA and published by Springer. This book was released on 2001-11-12 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: As a follow-up to the successful Politics of Usability, this book deals with the ways in which HCI experts apply their knowledge within the pressured environment of the modern organisation. Quite apart from the need to provide a good usability service with little time or money, most HCI practitioners also have to deal with the day-to-day concerns of funding, budgets, project and people management, teamwork, communication and the promotion of HCI ideas. How to achieve this and still find new ways to make modern technology more usable is the central message of this book. The text offers a unique perspective on usability by concentrating on real situations and focuses on practical, workable approaches to professional duties rather than complicated systems of rules.

Life Distributions

Author : Albert W. Marshall
Publisher : Springer Science & Business Media
ISBN 13 : 0387684778
Total Pages : 785 pages
Book Rating : 4.3/5 (876 download)

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Book Synopsis Life Distributions by : Albert W. Marshall

Download or read book Life Distributions written by Albert W. Marshall and published by Springer Science & Business Media. This book was released on 2007-10-13 with total page 785 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the study of univariate distributions appropriate for the analyses of data known to be nonnegative. The book includes much material from reliability theory in engineering and survival analysis in medicine.

Forecasting and Assessing Risk of Individual Electricity Peaks

Author : Maria Jacob
Publisher : Springer Nature
ISBN 13 : 303028669X
Total Pages : 108 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Forecasting and Assessing Risk of Individual Electricity Peaks by : Maria Jacob

Download or read book Forecasting and Assessing Risk of Individual Electricity Peaks written by Maria Jacob and published by Springer Nature. This book was released on 2019-09-25 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: The overarching aim of this open access book is to present self-contained theory and algorithms for investigation and prediction of electric demand peaks. A cross-section of popular demand forecasting algorithms from statistics, machine learning and mathematics is presented, followed by extreme value theory techniques with examples. In order to achieve carbon targets, good forecasts of peaks are essential. For instance, shifting demand or charging battery depends on correct demand predictions in time. Majority of forecasting algorithms historically were focused on average load prediction. In order to model the peaks, methods from extreme value theory are applied. This allows us to study extremes without making any assumption on the central parts of demand distribution and to predict beyond the range of available data. While applied on individual loads, the techniques described in this book can be extended naturally to substations, or to commercial settings. Extreme value theory techniques presented can be also used across other disciplines, for example for predicting heavy rainfalls, wind speed, solar radiation and extreme weather events. The book is intended for students, academics, engineers and professionals that are interested in short term load prediction, energy data analytics, battery control, demand side response and data science in general.