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Local polynomial regression with truncated or censored response


  • Karlsson, Maria

    (Department of Statistics, Umeå University)

  • Cantoni, Eva

    (Department of Econometrics, University of Geneva)

  • de Luna, Xavier

    () (Department of Statistics, Umeå University)


Truncation or censoring of the response variable in a regression model is a problem in many applications, e.g. when the response is insurance claims or the durations of unemployment spells. We introduce a local polynomial re­gression estimator which can deal with such truncated or censored responses. For this purpose, we use local versions of the STLS and SCLS estimators of Powell (1986) and the QME estimator of Lee (1993) and Laitila (2001). The asymptotic properties of our estimators, and the conditions under which they are valid, are given. In addition, a simulation study is presented to investigate the finite sample properties of our proposals.

Suggested Citation

  • Karlsson, Maria & Cantoni, Eva & de Luna, Xavier, 2009. "Local polynomial regression with truncated or censored response," Working Paper Series 2009:25, IFAU - Institute for Evaluation of Labour Market and Education Policy.
  • Handle: RePEc:hhs:ifauwp:2009_025

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    References listed on IDEAS

    1. Arthur Lewbel & Oliver Linton, 2002. "Nonparametric Censored and Truncated Regression," Econometrica, Econometric Society, vol. 70(2), pages 765-779, March.
    2. Songnian Chen & Gordon B. Dahl & Shakeeb Khan, 2005. "Nonparametric Identification and Estimation of a Censored Location-Scale Regression Model," Journal of the American Statistical Association, American Statistical Association, vol. 100, pages 212-221, March.
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    More about this item


    Non-parametric regression; truncation; censoring; asymptotic properties;

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General

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