Shape restricted regression with random

  title={Shape restricted regression with random},
  author={I-Shou Chang and Li-Chu Chien and Chao A. Hsiung and Chi-Chung Wen and Yuh-Jenn Wu},
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… CONTINUE READING


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