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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/41703


    Title: A Note on the Consistency in Bayesian Shape-Restricted Regression with Random Bernstein Polynomials
    Authors: Chang, I-shou;Hsiung, Chao A.;Wen, Chi-chung;Wu, Yuh-jenn
    Contributors: 淡江大學數學學系
    Keywords: Bayesian inference;Bernstein Polynomial;Consistency;Shape-restricted Regression
    Date: 2006-12
    Issue Date: 2010-01-28
    Publisher: Singapore: World Scientific
    Abstract: We describe a Bayesian framework for shape-restricted regression in which the prior is given by Bernstein polynomials. We present consistency theorems concerning the posterior distribution in this Bayesian approach. This study includes monotone regression and a few other shape-restricted regressions.
    Relation: Random Walk, Sequential Analysis And Related Topics: A Festschrift in Honor of Yuan-Shih Chow, pp.245-253
    DOI: 10.1142/9789812772558_0016
    Appears in Collections:[數學學系暨研究所] 專書之單篇

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