Description

Book Synopsis
Interest in the skew-normal and related families of distributions has grown enormously over recent years, as theory has advanced, challenges of data have grown, and computational tools have made substantial progress. This comprehensive treatment, blending theory and practice, will be the standard resource for statisticians and applied researchers. Assuming only basic knowledge of (non-measure-theoretic) probability and statistical inference, the book is accessible to the wide range of researchers who use statistical modelling techniques. Guiding readers through the main concepts and results, it covers both the probability and the statistics sides of the subject, in the univariate and multivariate settings. The theoretical development is complemented by numerous illustrations and applications to a range of fields including quantitative finance, medical statistics, environmental risk studies, and industrial and business efficiency. The author's freely available R package sn, available fr

Table of Contents
Preface; 1. Modulation of symmetric densities; 2. The skew-normal distribution: probability; 3. The skew-normal distribution: statistics; 4. Heavy and adaptive tails; 5. The multivariate skew-normal distribution; 6. Skew-elliptical distributions; 7. Further extensions and other directions; 8. Application-oriented work; Appendices; References.

The SkewNormal and Related Families 3 Institute of Mathematical Statistics Monographs Series Number 3

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    A Hardback by Adelchi Azzalini, Antonella Capitanio

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      View other formats and editions of The SkewNormal and Related Families 3 Institute of Mathematical Statistics Monographs Series Number 3 by Adelchi Azzalini

      Publisher: Cambridge University Press
      Publication Date: 19/12/2013
      ISBN13: 9781107029279, 978-1107029279
      ISBN10:
      Also in:
      Econometrics and economic statistics

      Description

      Book Synopsis
      Interest in the skew-normal and related families of distributions has grown enormously over recent years, as theory has advanced, challenges of data have grown, and computational tools have made substantial progress. This comprehensive treatment, blending theory and practice, will be the standard resource for statisticians and applied researchers. Assuming only basic knowledge of (non-measure-theoretic) probability and statistical inference, the book is accessible to the wide range of researchers who use statistical modelling techniques. Guiding readers through the main concepts and results, it covers both the probability and the statistics sides of the subject, in the univariate and multivariate settings. The theoretical development is complemented by numerous illustrations and applications to a range of fields including quantitative finance, medical statistics, environmental risk studies, and industrial and business efficiency. The author's freely available R package sn, available fr

      Table of Contents
      Preface; 1. Modulation of symmetric densities; 2. The skew-normal distribution: probability; 3. The skew-normal distribution: statistics; 4. Heavy and adaptive tails; 5. The multivariate skew-normal distribution; 6. Skew-elliptical distributions; 7. Further extensions and other directions; 8. Application-oriented work; Appendices; References.

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