A Bayes Procedure for Selecting the Population with the Largestpth Quantile
Alam K.
The Bayes method is seldom applied to nonparametric statisticalproblems, for the reason that it is hard to find mathematically tractableprior distributions on a set of probability measures. However, itis found that the Dirichlet process generates randomly a family of probabilitydistributions which can be taken as a family of prior distributionsfor an application of the Bayes method to such problems. Thispaper presents a Bayesian analysis of a nonparametric problem of selectinga distribution with the largest pth quantile value, from k 2 givendistributions. It is assumed a priori that the given distributions havebeen generated from a Dirichlet process.
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