A note on the scale parameter of the dirichlet process | Zendy

Walker Stephen G. | Zendy; Mallick Bani K. | Zendy

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A note on the scale parameter of the dirichlet process

Author(s) -

Walker Stephen G.,

Mallick Bani K.

Publication year - 1997

Publication title -

canadian journal of statistics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.804

H-Index - 51

eISSN - 1708-945X

pISSN - 0319-5724

DOI - 10.2307/3315342

Subject(s) - dirichlet distribution , dirichlet process , mathematics , scale (ratio) , concentration parameter , bayesian probability , categorical distribution , interpretation (philosophy) , scale parameter , prior probability , latent dirichlet allocation , hierarchical dirichlet process , statistics , computer science , bayesian hierarchical modeling , bayes' theorem , mathematical analysis , artificial intelligence , topic model , physics , quantum mechanics , boundary value problem , programming language

This paper gives an interpretation for the scale parameter of a Dirichlet process when the aim is to estimate a linear functional of an unknown probability distribution. We provide exact first and second posterior moments for such functionals under both informative and noninformative prior specifications. The noninformative case provides a normal approximation to the Bayesian bootstrap.

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