Dirichlet and Related Distributions: Theory, Methods and by Kai Wang Ng,Guo-Liang Tian,Man-Lai Tang PDF

By Kai Wang Ng,Guo-Liang Tian,Man-Lai Tang

The Dirichlet distribution seems to be in lots of components of software, which come with modelling of compositional information, Bayesian research, statistical genetics, and nonparametric inference. This e-book offers a complete assessment of the Dirichlet distribution and prolonged types, the Grouped Dirichlet Distribution (GDD) and the Nested Dirichlet Distribution (NDD), bobbing up from probability and Bayesian research of incomplete specific facts and survey information with non-response.

The theoretical houses and purposes also are reviewed intimately for different similar distributions, equivalent to the inverted Dirichlet distribution, Dirichlet-multinomial distribution, the truncated Dirichlet distribution, the generalized Dirichlet distribution, Hyper-Dirichlet distribution, scaled Dirichlet distribution, combined Dirichlet distribution, Liouville distribution, and the generalized Liouville distribution.

Key Features:

  • Presents the various effects and functions which are scattered during the literature in a single unmarried volume.
  • Looks on the latest effects corresponding to survival functionality and attribute functionality for the uniform distributions over the hyper-plane and simplex; distribution for linear functionality of Dirichlet parts; estimation through the expectation-maximization gradient set of rules and alertness; etc.
  • Likelihood and Bayesian analyses of incomplete express information through the use of GDD, NDD, and the generalized Dirichlet distribution are illustrated intimately in the course of the EM set of rules and information augmentation structure.
  • Presents a scientific exposition of the Dirichlet-multinomial distribution for multinomial information with additional version which can't be dealt with through the multinomial distribution.
  • S-plus/R codes are featured besides useful examples illustrating the methods.

Practitioners and researchers operating in components resembling scientific technology, organic technology and social technological know-how will take advantage of this book.

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Dirichlet and Related Distributions: Theory, Methods and Applications (Wiley Series in Probability and Statistics) by Kai Wang Ng,Guo-Liang Tian,Man-Lai Tang

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