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Heavy-Tail Phenomena
Probabilistic and Statistical Modeling
Buch von Sidney I. Resnick
Sprache: Englisch

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Beschreibung
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.
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.
Zusammenfassung

Unique text devoted to heavy-tails

The treatment of heavy tails is largely dimensionless

The text gives attention to both probability modeling and statistical methods for fitting models. Most other books focus on one or the other but not both

The book emphasizes the broad applicability of heavy-tails to the fields of finance (e.g., value-at- risk), data networks, insurance

The presentation is clear, efficient and coherent and, balances theory and data analysis to show the applicability and limitations of certain methods

Several chapters examine in detail the mathematical properties of the methodologies as well as their implementation in the Splus or R statistical languages

The exposition is driven by numerous examples and exercises

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2006
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Springer Series in Operations Research and Financial Engineering
Inhalt: xix
404 S.
ISBN-13: 9780387242729
ISBN-10: 0387242724
Sprache: Englisch
Herstellernummer: 11361299
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Resnick, Sidney I.
Hersteller: Springer US
Springer New York
Springer Series in Operations Research and Financial Engineering
Maße: 241 x 183 x 28 mm
Von/Mit: Sidney I. Resnick
Erscheinungsdatum: 01.12.2006
Gewicht: 0,924 kg
Artikel-ID: 102210001
Zusammenfassung

Unique text devoted to heavy-tails

The treatment of heavy tails is largely dimensionless

The text gives attention to both probability modeling and statistical methods for fitting models. Most other books focus on one or the other but not both

The book emphasizes the broad applicability of heavy-tails to the fields of finance (e.g., value-at- risk), data networks, insurance

The presentation is clear, efficient and coherent and, balances theory and data analysis to show the applicability and limitations of certain methods

Several chapters examine in detail the mathematical properties of the methodologies as well as their implementation in the Splus or R statistical languages

The exposition is driven by numerous examples and exercises

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2006
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Springer Series in Operations Research and Financial Engineering
Inhalt: xix
404 S.
ISBN-13: 9780387242729
ISBN-10: 0387242724
Sprache: Englisch
Herstellernummer: 11361299
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Resnick, Sidney I.
Hersteller: Springer US
Springer New York
Springer Series in Operations Research and Financial Engineering
Maße: 241 x 183 x 28 mm
Von/Mit: Sidney I. Resnick
Erscheinungsdatum: 01.12.2006
Gewicht: 0,924 kg
Artikel-ID: 102210001
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