Dirichlet and Related Distributions: Theory, Methods and Applications By Kai Wang Ng, Guo-Liang Tian and Man-Lai Tang
2011 | 336 Pages | ISBN: 047068819X | PDF | 2 MB
2011 | 336 Pages | ISBN: 047068819X | PDF | 2 MB
The Dirichlet distribution appears in many areas of application,which include modelling of compositional data, Bayesian analysis,statistical genetics, and nonparametric inference. This bookprovides a comprehensive review of the Dirichlet distribution andtwo extended versions, the Grouped Dirichlet Distribution (GDD) andthe Nested Dirichlet Distribution (NDD), arising from likelihoodand Bayesian analysis of incomplete categorical data and surveydata with non–response. The theoretical properties and applications are also reviewed indetail for other related distributions, such as the invertedDirichlet distribution, Dirichlet–multinomial distribution, thetruncated Dirichlet distribution, the generalized Dirichletdistribution, Hyper–Dirichlet distribution, scaled Dirichletdistribution, mixed Dirichlet distribution, Liouville distribution,and the generalized Liouville distribution.