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Stuart Coles is Reader in Statistics at the University of Bristol, UK, having previously lectured at the universities of Nottingham and Lancaster. 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. 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. 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. Most aspects of extreme modeling techniques are covered, including historical techniques (still widely used) and contemporary techniques based on point process models. Intended for statisticians and non-statisticians alike, the theoretical treatment is elementary, with heuristics often replacing detailed mathematical proof. Index.Download An Introduction to Statistical Modeling of Extreme Values Book in PDF, Epub and Kindleĭirectly 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. 8.6 Conclusion: the art of model building. 6.2 Modelling binary response probabilities. Binomial response variables: logistic regression and related method.

5.5 Comparing models: analysis of deviance.

5.4 Assessing the fit of a model: deviance. Non-normality: the theory of generalized linear models.

4.5 A general approach via multiple regression. Normal response and qualitative explanatory variables: analysis of variance. Normal response and quantitative explanatory variables: regression.

2.1 Random variables and probability distributions.