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Functional limit laws for the increments of Kaplan-Meier product-limit processes and applications

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  • Einmahl, J.H.J.

    (Tilburg University, School of Economics and Management)

  • Deheuvels, P.

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  • Einmahl, J.H.J. & Deheuvels, P., 2000. "Functional limit laws for the increments of Kaplan-Meier product-limit processes and applications," Other publications TiSEM ac9bbdc0-62f8-4b48-9a84-1, Tilburg University, School of Economics and Management.
    • Handle: RePEc:tiu:tiutis:ac9bbdc0-62f8-4b48-9a84-13b4bfed2ced
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    References listed on IDEAS

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    1. Einmahl, J.H.J., 1997. "Poisson and Gaussian approximation of weighted local empirical processes," Other publications TiSEM 07d934b9-2bd4-474a-bf32-f, Tilburg University, School of Economics and Management.
    2. Xiang, X. J., 1994. "Law of the Logarithm for Density and Hazard Rate Estimation for Censored Data," Journal of Multivariate Analysis, Elsevier, vol. 49(2), pages 278-286, May.
    3. R.D. Gill, 1980. "Censoring and Stochastic Integrals," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 34(2), pages 124-124, June.
    4. Einmahl, J.H.J. & Koning, A.J., 1992. "Limit theorems for a general weighted process under random censoring," Other publications TiSEM ab26769f-cec3-4b07-9e8a-9, Tilburg University, School of Economics and Management.
    5. Einmahl, John H. J., 1997. "Poisson and Gaussian approximation of weighted local empirical processes," Stochastic Processes and their Applications, Elsevier, vol. 70(1), pages 31-58, October.
    6. Diehl, Sabine & Stute, Winfried, 1988. "Kernel density and hazard function estimation in the presence of censoring," Journal of Multivariate Analysis, Elsevier, vol. 25(2), pages 299-310, May.
    7. Gijbels, I. & Wang, J. L., 1993. "Strong Representations of the Survival Function Estimator for Truncated and Censored Data with Applications," Journal of Multivariate Analysis, Elsevier, vol. 47(2), pages 210-229, November.
    8. P. Deheuvels, 1996. "Functional laws of the iterated logarithm for small increments of empirical processes," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 50(2), pages 261-280, July.
    9. Einmahl, J.H.J. & Deheuvels, P, 1996. "On the strong limiting behavior of local functionals of empirical processes based upon censored data," Other publications TiSEM eac4a4cd-81ee-4107-8c70-a, Tilburg University, School of Economics and Management.
    10. Deheuvels, Paul, 1992. "Functional laws of the iterated logarithm for large increments of empirical and quantile processes," Stochastic Processes and their Applications, Elsevier, vol. 43(1), pages 133-163, November.
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    Citations

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    Cited by:

    1. Paul Deheuvels & Sarah Ouadah, 2013. "Uniform-in-Bandwidth Functional Limit Laws," Journal of Theoretical Probability, Springer, vol. 26(3), pages 697-721, September.
    2. Guessoum Zohra & Ould-Said Elias, 2009. "On nonparametric estimation of the regression function under random censorship model," Statistics & Risk Modeling, De Gruyter, vol. 26(3), pages 159-177, April.
    3. Paul Deheuvels & David Mason, 2004. "General Asymptotic Confidence Bands Based on Kernel-type Function Estimators," Statistical Inference for Stochastic Processes, Springer, vol. 7(3), pages 225-277, October.
    4. Hamri Mohamed Mehdi & Mekki Sanaà Dounya & Rabhi Abbes & Kadiri Nadia, 2022. "Single Functional Index Quantile Regression for Independent Functional Data Under Right-Censoring," Econometrics. Advances in Applied Data Analysis, Sciendo, vol. 26(1), pages 31-62, March.
    5. Mohamed Lemdani & Elias Ould Saïd, 2017. "Nonparametric robust regression estimation for censored data," Statistical Papers, Springer, vol. 58(2), pages 505-525, June.

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