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020 _a9781119995784
100 _aNg, Kai Wang
_916282
245 _aDirichlet and Related Distributions
_b Theory, Methods and Applications
260 _bWiley
_c2011
500 _aThe Dirichlet distribution appears in many areas of application, which include modelling of compositional data, Bayesian analysis, statistical genetics, and nonparametric inference. This book provides a comprehensive review of the Dirichlet distribution and two extended versions, the Grouped Dirichlet Distribution (GDD) and the Nested Dirichlet Distribution (NDD), arising from likelihood and Bayesian analysis of incomplete categorical data and survey data with non-response. The theoretical properties and applications are also reviewed in detail for other related distributions, such as the inverted Dirichlet distribution, Dirichlet-multinomial distribution, the truncated Dirichlet distribution, the generalized Dirichlet distribution, Hyper-Dirichlet distribution, scaled Dirichlet distribution, mixed Dirichlet distribution, Liouville distribution, and the generalized Liouville distribution.
653 _a Distribution (Probability theory)
653 _aDirichlet problem
700 _a Tian, Guo-Liang
_916281
700 _a Tang, Man-Lai
856 _uhttp://onlinelibrary.wiley.com/book/10.1002/9781119995784
942 _cEB