國家衛生研究院 NHRI:Item 3990099045/5498
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    题名: Shape restricted regression with random Bernstein polynomials
    作者: Chang, IS;Chien, LC;Hsiung, CA;Wen, CC;Wu, YJ
    贡献者: Division of Biostatistics and Bioinformatics;National Institute of Cancer Research
    摘要: Shape restricted regressions, including isotonic regression and concave regression as special cases, are studied using priors on Bernstein polynomials and Markov chain Monte Carlo methods. These priors have large supports, select only smooth functions, can easily incorporate geometric information into the prior, and can be generated without computational difficulty. Algorithms generating priors and posteriors are proposed, and simulation studies are conducted to illustrate the performance of this approach. Comparisons with the density-regression method of Dette et al.
    日期: 2007
    關聯: IMS Lecture Notes-Monograph Series. 2007;54:187-202.
    Link to: http://dx.doi.org/10.1214/074921707000000157
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