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Nonparametric Bayes Decision Theory
Authors:S. R. Dalal
Affiliation:(1) Rutgers University, Murray Hill, USA
Abstract:Summary A summary of the seminar with the same title is presented. Ferguson’s fundamental work on the theory of Dirichlet processes is elucidated and their shortcomings are discussed. Some modifications are also proposed and illustrated. Some of the intricate mathematical issues related to the definitions and the proofs are not discussed for the sake of clarity and brevity. The development related to unimodal processes, briefly mentioned in the last section, will appear as a joint work with Professor W.J. Hall elsewhere. Presently at Bell Labs, Murray Hill, N.J. 07974, U.S.A.
Keywords:Nonparametric Bayes  Dirichlet Processes  Dirichlet Invariant Processes  Estimation of A Symmetric C.D.F.  Estimation of A Unimodal Density  Estimation of a Point of Symmetry
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