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Nonparametric inference under competing risks and selection-biased sampling

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  • Dauxois, Jean-Yves
  • Guilloux, Agathe

Abstract

The aim of this paper is to carry out statistical inference in a competing risks setup when only selection-biased observation of the data of interest is available. We introduce estimators of the cumulative incidence functions and study their joint large sample behavior.

Suggested Citation

  • Dauxois, Jean-Yves & Guilloux, Agathe, 2008. "Nonparametric inference under competing risks and selection-biased sampling," Journal of Multivariate Analysis, Elsevier, vol. 99(4), pages 589-605, April.
    • Handle: RePEc:eee:jmvana:v:99:y:2008:i:4:p:589-605
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    References listed on IDEAS

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    1. 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.
    2. Jacobo Uña-Álvarez, 2002. "Product-limit estimation for length-biased censored data," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 11(1), pages 109-125, June.
    3. Jens Lund, 2000. "Sampling Bias in Population Studies—How to Use the Lexis Diagram," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 27(4), pages 589-604, December.
    4. Lee J. & Berger J.O., 2001. "Semiparametric Bayesian Analysis of Selection Models," Journal of the American Statistical Association, American Statistical Association, vol. 96, pages 1397-1409, December.
    5. Jacobo Uña-álvarez, 2004. "Nonparametric estimation under length-biased sampling and Type I censoring: A moment based approach," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 56(4), pages 667-681, December.
    6. 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.
    7. Asgharian M. & MLan C.E. & Wolfson D. B., 2002. "Length-Biased Sampling With Right Censoring: An Unconditional Approach," Journal of the American Statistical Association, American Statistical Association, vol. 97, pages 201-209, March.
    8. Ying, Zhiliang, 1989. "A note on the asymptotic properties of the product-limit estimator on the whole line," Statistics & Probability Letters, Elsevier, vol. 7(4), pages 311-314, February.
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    Cited by:

    1. Zhang, Feipeng & Tan, Zhong, 2015. "A new nonparametric quantile estimate for length-biased data with competing risks," Economics Letters, Elsevier, vol. 137(C), pages 10-12.

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