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Dirichlet and related distributions ...

Ng, Kai Wang,

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Dirichlet and related distributions : = theory, methods and applications /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Dirichlet and related distributions :/ Kai Wang Ng, Guo-Liang Tian, Man-Lai Tang.
Reminder of title:	theory, methods and applications /
Author:	Ng, Kai Wang,
other author:	Tang, Man-Lai,
Published:	Hoboken, N.J. :Wiley, : 2011.,
Description:	xxvi, 310 p. :ill. ;24 cm.
Subject:	Dirichlet problem. -
Online resource:	http://catalogimages.wiley.com/images/db/jimages/9780470688199.jpg
ISBN:	9780470688199 (hbk.) :

Dirichlet and related distributions : = theory, methods and applications /
Ng, Kai Wang,

Dirichlet and related distributions :theory, methods and applications /Kai Wang Ng, Guo-Liang Tian, Man-Lai Tang. - Hoboken, N.J. :Wiley,2011. - xxvi, 310 p. :ill. ;24 cm. - Wiley series in probability and statistics. - Wiley series in probability and statistics.

Includes bibliographical references (p. [289]-302) and indexes.

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.

ISBN: 9780470688199 (hbk.) :US113.00

LCCN: 2010053428Subjects--Topical Terms:

1042836
Dirichlet problem.

LC Class. No.: QA276.7 / .N53 2011

Dewey Class. No.: 519.2/4

Dirichlet and related distributions : = theory, methods and applications /
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082 0 0 $a 519.2/4 $2 22
084 $a MAT029000 $2 bisacsh
100 1 $a Ng, Kai Wang, $e author. $3 2069931
245 1 0 $a Dirichlet and related distributions : $b theory, methods and applications / $c Kai Wang Ng, Guo-Liang Tian, Man-Lai Tang.
260 # $a Hoboken, N.J. : $b Wiley, $c 2011.
300 $a xxvi, 310 p. : $b ill. ; $c 24 cm.
490 1 0 $a Wiley series in probability and statistics
504 $a Includes bibliographical references (p. [289]-302) and indexes.
520 # $a 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.
650 # 0 $a Dirichlet problem. $3 1042836
650 # 0 $a Distribution (Probability theory) $3 533179
700 1 # $a Tang, Man-Lai, $e author. $3 2069932
700 1 # $a Tian, Guo-Liang, $e author. $3 2069933
800 0 0 $a Wiley series in probability and statistics $3 2069934
856 4 2 $3 Cover image $u http://catalogimages.wiley.com/images/db/jimages/9780470688199.jpg