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Optimal U-type design for Bayesian nonparametric multiresponse prediction |
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| Authors: | Rong-Xian Yue Hong QinKashinath Chatterjee |
| Institution: | a Department of Mathematics of Shanghai Normal University, Scientific Computing Key Laboratory of Shanghai Universities, and Division of Scientific Computation of E-Institute of Shanghai Universities, Shanghai 200234, China b Department of Statistics, Central China Normal University, Wuhan 430079, China c Department of Statistics, Visva-Bharati University, Santiniketan, India |
| Abstract: | This paper presents an extension of the work of Yue and Chatterjee (2010) about U-type designs for Bayesian nonparametric response prediction. We consider nonparametric Bayesian regression model with p responses. We use U-type designs with n runs, m factors and q levels for the nonparametric multiresponse prediction based on the asymptotic Bayesian criterion. A lower bound for the proposed criterion is established, and some optimal and nearly optimal designs for the illustrative models are given. |
| Keywords: | Bayesian design Asymptotic Factorial design Uniformity Multiresponse |
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