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Optimal global rate of convergence in nonparametric regression with left-truncated and right-censored data

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  • Park, Jinho

Abstract

In this paper we consider nonparametric regression with left-truncated and right-censored data. An estimator of the regression function is developed when censoring and truncation are independent of covariates and the response. The estimation is based on the product limit estimator of the response variable. Under certain conditions, the L2 rate of convergence of the estimated regression function is obtained when tensor products of B-splines are used.

Suggested Citation

  • Park, Jinho, 2004. "Optimal global rate of convergence in nonparametric regression with left-truncated and right-censored data," Journal of Multivariate Analysis, Elsevier, vol. 89(1), pages 70-86, April.
  • Handle: RePEc:eee:jmvana:v:89:y:2004:i:1:p:70-86
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    Cited by:

    1. Elias Ould-Saïd & Mohamed Lemdani, 2006. "Asymptotic Properties of a Nonparametric Regression Function Estimator with Randomly Truncated Data," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 58(2), pages 357-378, June.

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