Statistics Based on Dirichlet Processes and Related Topics

by Hajime Yamato

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Description

This book focuses on the properties associated with the Dirichlet process, describing its use  a priori  for nonparametric inference and the Bayes estimate to obtain limits for the estimable parameter. It presents the limits and the well-known  U - and  V -statistics as a convex combination of  U -statistics, and by investigating this convex combination, it demonstrates  these three statistics. Next, the book notes that the Dirichlet pr