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Nonparametric Censored and Truncated Regression

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  • Arthur Lewbel

    ()
    (Boston College)

  • Oliver Linton

    ()
    (London School of Economics)

Abstract

The nonparametric censored regression model, with a fixed, known censoring point (normalized to zero), is y = max[0,m(x)+e], where both the regression function m(x) and the distribution of the error e are unknown. This paper provides consistent estimators of m(x) and its derivatives. The convergence rate is the same as for an uncensored nonparametric regression and its derivatives. We also provide root n estimates of weighted average derivatives of m(x), which equal the coefficients in linear or partly linear specifications for m(x). An extension permits estimation in the presence of a general form of heteroskedasticity. We also extend the estimator to the nonparametric truncated regression model, in which only uncensored data points are observed.

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Bibliographic Info

Paper provided by Boston College Department of Economics in its series Boston College Working Papers in Economics with number 439.

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Length: 29 pages
Date of creation: 05 Jan 2000
Date of revision:
Handle: RePEc:boc:bocoec:439

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