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Rate of the almost complete convergence of a kernel regression estimate with twice censored data

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  • Kebabi, Khedidja
  • Messaci, Fatiha

Abstract

We first establish both the pointwise and the uniform almost complete consistencies with rate of a kernel type regression estimate in a doubly censoring setting. Then a simulation study illustrates the good behaviour of the studied estimator.

Suggested Citation

  • Kebabi, Khedidja & Messaci, Fatiha, 2012. "Rate of the almost complete convergence of a kernel regression estimate with twice censored data," Statistics & Probability Letters, Elsevier, vol. 82(11), pages 1908-1913.
    • Handle: RePEc:eee:stapro:v:82:y:2012:i:11:p:1908-1913
    DOI: 10.1016/j.spl.2012.06.026
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    References listed on IDEAS

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    1. Messaci, Fatiha & Nemouchi, Nahima, 2011. "A law of the iterated logarithm for the product limit estimator with doubly censored data," Statistics & Probability Letters, Elsevier, vol. 81(8), pages 1241-1244, August.
    2. Kebabi, K. & Laroussi, I. & Messaci, F., 2011. "Least squares estimators of the regression function with twice censored data," Statistics & Probability Letters, Elsevier, vol. 81(11), pages 1588-1593, November.
    3. Messaci, Fatiha, 2010. "Local averaging estimates of the regression function with twice censored data," Statistics & Probability Letters, Elsevier, vol. 80(19-20), pages 1508-1511, October.
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    Cited by:

    1. Ouafae Benrabah & Feriel Bouhadjera & Elias Ould Saïd, 2022. "Local linear estimation of the regression function for twice censored data," Statistical Papers, Springer, vol. 63(2), pages 489-514, April.
    2. Aouicha, Lamia & Messaci, Fatiha, 2019. "Kernel estimation of the conditional density under a censorship model," Statistics & Probability Letters, Elsevier, vol. 145(C), pages 173-180.
    3. Feriel, Bouhadjera & Elias, Ould Saïd, 2021. "Nonparametric local linear estimation of the relative error regression function for twice censored data," Statistics & Probability Letters, Elsevier, vol. 178(C).

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    2. Ouafae Benrabah & Feriel Bouhadjera & Elias Ould Saïd, 2022. "Local linear estimation of the regression function for twice censored data," Statistical Papers, Springer, vol. 63(2), pages 489-514, April.
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