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An overview of nonparametric contributions to the problem of functional estimation from biased data

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  • José Cristóbal
  • José Alcalá

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  • José Cristóbal & José Alcalá, 2001. "An overview of nonparametric contributions to the problem of functional estimation from biased data," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 10(2), pages 309-332, December.
  • Handle: RePEc:spr:testjl:v:10:y:2001:i:2:p:309-332
    DOI: 10.1007/BF02595700
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    References listed on IDEAS

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    1. Horowitz, Joel L, 1996. "Semiparametric Estimation of a Regression Model with an Unknown Transformation of the Dependent Variable," Econometrica, Econometric Society, vol. 64(1), pages 103-137, January.
    2. Gang Li & Jing Qin, 1998. "Semiparametric likelihood‐based inference for biased and truncated data when the total sample size is known," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 60(1), pages 243-254.
    3. Klein, Roger & Sherman, Robert, 1997. "Estimating new product demand from biased survey data," Journal of Econometrics, Elsevier, vol. 76(1-2), pages 53-76.
    4. Biao Zhang, 2000. "M‐estimation Under a Two‐Sample Semiparametric Model," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 27(2), pages 263-280, June.
    5. Wu, Colin O., 1997. "A Cross-Validation Bandwidth Choice for Kernel Density Estimates with Selection Biased Data," Journal of Multivariate Analysis, Elsevier, vol. 61(1), pages 38-60, April.
    6. Horváth Lajos, 1985. "Estimation From A Length-Biased Distribution," Statistics & Risk Modeling, De Gruyter, vol. 3(1-2), pages 91-114, February.
    7. Colin Wu & Andrew Mao, 1996. "Minimax kernels for density estimation with biased data," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 48(3), pages 451-467, September.
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    Cited by:

    1. J. Ojeda & J. Cristóbal & J. Alcalá, 2008. "A bootstrap approach to model checking for linear models under length-biased data," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 60(3), pages 519-543, September.
    2. Yogendra P. Chaubey & Christophe Chesneau & Fabien Navarro, 2017. "Linear wavelet estimation of the derivatives of a regression function based on biased data," Working Papers 2017-70, Center for Research in Economics and Statistics.

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