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Nonparametric curve estimation with bernstein estimates


  • Axel Tenbusch


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Suggested Citation

  • Axel Tenbusch, 1997. "Nonparametric curve estimation with bernstein estimates," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 45(1), pages 1-30, January.
  • Handle: RePEc:spr:metrik:v:45:y:1997:i:1:p:1-30
    DOI: 10.1007/BF02717090

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    References listed on IDEAS

    1. Axel Tenbusch, 1994. "Two-dimensional Bernstein polynomial density estimators," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 41(1), pages 233-253, December.
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    Cited by:

    1. Lu, Lu, 2015. "On the uniform consistency of the Bernstein density estimator," Statistics & Probability Letters, Elsevier, vol. 107(C), pages 52-61.
    2. Taamouti, Abderrahim & Bouezmarni, Taoufik & Rombouts, Jeroen V. K., 2008. "Asymptotic properties of the Bernstein density copula for dependent data," UC3M Working papers. Economics we083619, Universidad Carlos III de Madrid. Departamento de Economía.
    3. Alexandre Leblanc, 2012. "On estimating distribution functions using Bernstein polynomials," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 64(5), pages 919-943, October.
    4. Bouezmarni, Taoufik & Rombouts, Jeroen V.K. & Taamouti, Abderrahim, 2010. "Asymptotic properties of the Bernstein density copula estimator for [alpha]-mixing data," Journal of Multivariate Analysis, Elsevier, vol. 101(1), pages 1-10, January.
    5. Osman, Muhtarjan & Ghosh, Sujit K., 2012. "Nonparametric regression models for right-censored data using Bernstein polynomials," Computational Statistics & Data Analysis, Elsevier, vol. 56(3), pages 559-573.
    6. Taamouti, Abderrahim & Bouezmarni, Taoufik & El Ghouch, Anouar, 2011. "Bernstein estimator for unbounded density copula," UC3M Working papers. Economics we1143, Universidad Carlos III de Madrid. Departamento de Economía.
    7. Paul Janssen & Jan Swanepoel & Noël Veraverbeke, 2016. "Bernstein estimation for a copula derivative with application to conditional distribution and regression functionals," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 25(2), pages 351-374, June.


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