Bayesian Analysis in Nonparametric Based on General Dirichlet Process
Rong Qiu
Abstract
Rong Qiu
Abstract
The paper gives a general class of nonparametric prior distributions on an arbitrary sample space.This paper gives the definition of general Dirichlet process,and proves that it is the prior distributions class in nonparametric problems.The research has discussed the properties of general Dirichlet process,and given the means /variances/covariances/finite moments of the prior class,then discussed the support of the prior class.
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The paper gives a general class of nonparametric prior distributions on an arbitrary sample space.This paper gives the definition of general Dirichlet process,and proves that it is the prior distributions class in nonparametric problems.The research has discussed the properties of general Dirichlet process,and given the means /variances/covariances/finite moments of the prior class,then discussed the support of the prior class.
Key concepts: Dirichlet process, Nonparametric statistics, Dirichlet distribution, Hierarchical Dirichlet process, Mathematics, Class (philosophy), Applied mathematics, Generalized Dirichlet distribution