Dirichlet and Related Distributions
Subtitle: Theory, Methods and Applications
By: Kai Wang Ng, Guo-Liang Tian, Man-Lai Tang
Contributors: Tian, Guo-Liang; Tang, Man-Lai; Wiley online library
Series: Wiley Series in Probability and Statistics
Publisher: Wiley
Published: 2011
Place of publication: Hoboken, N.J
Language: eng
Format: [electronic resource] :
ISBN-13: 9781119995784
Copyright date: 2011
Subjects: MATHEMATICS / Probability & Statistics / General; Distribution (Probability theory); Dirichlet problem
Description: "This book provides a comprehensive review on the Dirichlet distribution including its basic properties, marginal and conditional distributions, cumulative distribution and survival functions. The authors provide insight into new materials such as survival function, characteristic functions for two uniform distributions over the hyper-plane and simplex distribution for linear function of Dirichlet components estimation via the expectation-maximization gradient algorithm and application. Two new families of distributions (GDD and NDD) are explored, with emphasis on applications in incomplete categorical data and survey data with non-response. Theoretical results on inverted Dirichlet distribution and its applications are featured along with new results that deal with truncated Dirichlet distribution, Dirichlet process and smoothed Dirichlet distribution. The final chapters look at results gathered for Dirichlet-multinomial distribution, Generalized Dirichlet distribution, Liouville distribution, generalized Liouville distribution and matrix-variate Dirichlet distribution"--

"This book provides a comprehensive review on the Dirichlet distribution including its basic properties, marginal and conditional distributions, cumulative distribution and survival functions"--
Notes: Includes bibliographical references and index.

Electronic reproduction. Hoboken, N.J. : Wiley InterScience, 2011. Mode of access: World Wide Web. System requirements: Web browser. Title from title screen (viewed on Apr. 21, 2011). Access may be restricted to users at subscribing institutions.
Table of contents: title: Front Matter; title: Introduction; title: Dirichlet Distribution; title: Grouped Dirichlet Distribution; title: Nested Dirichlet Distribution; title: Inverted Dirichlet Distribution; title: Dirichlet₆Multinomial Distribution; title: Truncated Dirichlet Distribution; title: Other Related Distributions; title: Appendix A: Some Useful S-Plus Codes; title: References; title: Author Index; title: Subject Index; title: .