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Consistency of Bernstein polynomial posteriors


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  • Sonia Petrone
  • Larry Wasserman
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    Bibliographic Info

    Article provided by Royal Statistical Society in its journal Journal of the Royal Statistical Society: Series B (Statistical Methodology).

    Volume (Year): 64 (2002)
    Issue (Month): 1 ()
    Pages: 79-100

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    Handle: RePEc:bla:jorssb:v:64:y:2002:i:1:p:79-100

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    Cited by:
    1. Jose Antonio Carnicero & Michael P. Wiper, 2008. "A semi-parametric model for circular data based on mixtures of beta distributions," Statistics and Econometrics Working Papers ws081305, Universidad Carlos III, Departamento de Estadística y Econometría.
    2. Lorenzo Trippa & Paolo Bulla & Sonia Petrone, 2011. "Extended Bernstein prior via reinforced urn processes," Annals of the Institute of Statistical Mathematics, Springer, vol. 63(3), pages 481-496, June.
    3. Kim, Dong-Hyuk, 2013. "Optimal choice of a reserve price under uncertainty," International Journal of Industrial Organization, Elsevier, vol. 31(5), pages 587-602.
    4. Yanyun Zhao & Concepción Ausín & Michael P. Wiper, 2013. "Bayesian multivariate Bernstein polynomial density estimation," Statistics and Econometrics Working Papers ws131211, Universidad Carlos III, Departamento de Estadística y Econometría.
    5. Jose T.A.S. Ferreira & Mark F.J. Steel, 2004. "A Constructive Representation of Univariate Skewed Distributions," Econometrics 0403002, EconWPA.
    6. Turnbull, Bradley C. & Ghosh, Sujit K., 2014. "Unimodal density estimation using Bernstein polynomials," Computational Statistics & Data Analysis, Elsevier, vol. 72(C), pages 13-29.
    7. Alexandre Leblanc, 2012. "On estimating distribution functions using Bernstein polynomials," Annals of the Institute of Statistical Mathematics, Springer, vol. 64(5), pages 919-943, October.
    8. Han, Bing & Dalal, Siddhartha R., 2012. "A Bernstein-type estimator for decreasing density with application to p-value adjustments," Computational Statistics & Data Analysis, Elsevier, vol. 56(2), pages 427-437.


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