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 *