01853cam a2200229 i 4500008004100000020001800041040000800059050002300067100001800090245012200108260003500230300001100265490004700276505001700323518001500340520109600355650003801451650002301489650005301512700003001565700002801595101217t20112011nju      b    001 0 eng    a9780470688199  aSDU00aQA276bN576 D 20111 aNg, Kai Wang,10aDirichlet and Related Distributions :bTheory, Methods and Applications /cKai Wang Ng, Guo-Liang Tian, Man-Lai Tang.  aHoboken, N.J. :bWiley,c2011.  a310 p.0 aWiley series in probability and statistics  aHKBU library  aYT2025 M10  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"-- 0aDistribution (Probability theory) 0aDirichlet problem. 7aMATHEMATICS / Probability & Statistics / General1 aTian, Guo-Liang,eauthor.1 aTang, Man-Lai,eauthor.