Shape restricted regression with random

@inproceedings{Chang2008ShapeRR,
  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},
  year={2008}
}
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

Citations

Publications citing this paper.
Showing 1-10 of 10 extracted citations

References

Publications referenced by this paper.
Showing 1-10 of 31 references

A simple nonparametric estimator of a monotone regression function

  • H. Dette, N. Neumeyer, K. F. Pilz
  • Bernoulli
  • 2006
Highly Influential
6 Excerpts

Descartes’ rule of signs revisited

  • B. Anderson, J. Jackson, M. Sitharam
  • Am. Math. Mon
  • 1998
Highly Influential
4 Excerpts

A Bayes approach to time course expression profile of a virus gene

  • I. S. Chang, L. C. Chien, P. K. Gupta, C. C. Wen, Y. J. Wu, C. A. Hsiung
  • 2006
1 Excerpt

A note on the consistency in Bayesian shape-restricted regression with random Bernstein polynomials. In Random Walks, Sequential Analysis and Related Topics (C

  • I. S. Chang, C. A. Hsiung, C. C. Wen, Y. J. Wu
  • eds.). World Scientific,
  • 2006
1 Excerpt

Bayesian survival analysis using Bernstein polynomials

  • I. S. Chang, C. A. Hsiung, Y. J. Wu, C. C. Yang
  • Scand. J. Statist
  • 2005
2 Excerpts

Similar Papers

Loading similar papers…