This comprehensive text gives an interesting and useful blend of the mathematical, probabilistic and statistical tools used in heavy-tail analysis. Heavy tails are characteristic of many phenomena where the probability of a single huge value impacts heavily. Record-breaking insurance losses, financial-log returns, files sizes stored on a server, transmission rates of files are all examples of heavy-tailed phenomena.
Key features:
* Unique text devoted to heavy-tails
* Emphasizes both probability modeling and statistical methods for fitting models. Most treatments focus on one or the other but not both
* Presents broad applicability of heavy-tails to the fields of data networks, finance (e.g., value-at- risk), insurance, and hydrology
* Clear, efficient and coherent exposition, balancing theory and actual data to show the applicability and limitations of certain methods
* Examines in detail the mathematical properties of the methodologies as well as their implementation in Splus or R statistical languages
* Exposition driven by numerous examples and exercises
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 (or at least to learn) a statistics package such as R or Splus. This work will serve second-year graduate students and researchers in the areas of applied mathematics, statistics, operations research, electrical engineering, and economics.
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This comprehensive text gives an interesting and useful blend of the mathematical, probabilistic and statistical tools used in heavy-tail analysis. Heavy tails are characteristic of many phenomena where the probability of a single huge value impacts heavily. Record-breaking insurance losses, financial-log returns, files sizes stored on a server, transmission rates of files are all examples of heavy-tailed phenomena.
Key features:
* Unique text devoted to heavy-tails
* Emphasizes both probability modeling and statistical methods for fitting models. Most treatments focus on one or the other but not both
* Presents broad applicability of heavy-tails to the fields of data networks, finance (e.g., value-at- risk), insurance, and hydrology
* Clear, efficient and coherent exposition, balancing theory and actual data to show the applicability and limitations of certain methods
* Examines in detail the mathematical properties of the methodologies as well as their implementation in Splus or R statistical languages
* Exposition driven by numerous examples and exercises
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 (or at least to learn) a statistics package such as R or Splus. This work will serve second-year graduate students and researchers in the areas of applied mathematics, statistics, operations research, electrical engineering, and economics.
Imprint | Springer-Verlag New York |
Country of origin | United States |
Series | Springer Series in Operations Research and Financial Engineering |
Release date | November 2010 |
Availability | Expected to ship within 10 - 15 working days |
First published | 2007 |
Authors | Sidney I. Resnick |
Dimensions | 235 x 178 x 22mm (L x W x T) |
Format | Paperback |
Pages | 404 |
Edition | Softcover reprint of hardcover 1st ed. 2007 |
ISBN-13 | 978-1-4419-2024-9 |
Barcode | 9781441920249 |
Categories | |
LSN | 1-4419-2024-2 |