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Heavy-Tail Phenomena Sidney I. Resnick

Heavy-Tail Phenomena By Sidney I. Resnick

Heavy-Tail Phenomena by Sidney I. Resnick


Summary

It is uniquely devoted to heavy-tails and emphasizes both probability modeling and statistical methods for fitting models.

Prerequisites for the reader include a prior course in stochastic processes and probability, some statistical background, some familiarity with time series analysis, and ability to use a statistics package.

Heavy-Tail Phenomena Summary

Heavy-Tail Phenomena: Probabilistic and Statistical Modeling by Sidney I. Resnick

This comprehensive text gives an interesting and useful blend of the mathematical, probabilistic and statistical tools used in heavy-tail analysis. It is uniquely devoted to heavy-tails and emphasizes both probability modeling and statistical methods for fitting models.

Prerequisites for the reader include a prior course in stochastic processes and probability, some statistical background, some familiarity with time series analysis, and ability to use a statistics package. This work will serve second-year graduate students and researchers in the areas of applied mathematics, statistics, operations research, electrical engineering, and economics.

Heavy-Tail Phenomena Reviews

place on personal bookshelves of many applied probabilists. (Ilya S. Molchanov, Mathematical Reviews, Issue 2008 j)

'This is a survey of the mathematical, probabilistic and statistical tools used in heavy-tail analysis as well as some examples of their use.' ... This book could be used very conveniently for a Masters-level course in point processes or regular variation; theoretical concepts are introduced in a pedagogical way, and several exercises accompany each chapter. Researchers in applied probability or statistics will also benefit from reading this book. It cleverly mixes probabilistic modeling and statistical methodology with powerful mathematical tools. (Anne-Laure Fougeres and Philippe Soulier, SIAM Review, Vol. 50 (2), 2008)

This book does the job of presenting the general problematic and providing tools for solving the study of the related models, successfully. ... Altogether the book has 11 chapters and a series of illustrative examples coming from real life, which are discussed, and a list of exercises are proposed in each chapter. The book will certainly be useful for mathematicians, engineers, economists, and other specialists coping with heavy-tailed problems. (C. Bouza, Journal of the Operational Research Society, Vol. 61 (12), 2010)

Table of Contents

Crash Courses.- Crash Course I: Regular Variation.- Crash Course II: Weak Convergence; Implications for Heavy-Tail Analysis.- Statistics.- Dipping a Toe in the Statistical Water.- Probability.- The Poisson Process.- Multivariate Regular Variation and the Poisson Transform.- Weak Convergence and the Poisson Process.- Applied Probability Models and Heavy Tails.- More Statistics.- Additional Statistics Topics.- Appendices.- Notation and Conventions.- Software.

Additional information

NLS9781441920249
9781441920249
1441920242
Heavy-Tail Phenomena: Probabilistic and Statistical Modeling by Sidney I. Resnick
New
Paperback
Springer-Verlag New York Inc.
2010-11-23
404
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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