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Estimation of a General Parametric Location in Censored Regression

In: Exploring Research Frontiers in Contemporary Statistics and Econometrics

Author

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  • Cédric Heuchenne

    (HEC-Management School of University of Liége, QuantOM (Centre for Quantitative Methods and Operations Management)
    Université catholique de Louvain, Institut de statistique, biostatistique et sciences actuarielles)

  • Ingrid Van Keilegom

    (Université catholique de Louvain, Institut de statistique, biostatistique et sciences actuarielles)

Abstract

Consider the random vector (X, Y ), where Y represents a response variable and X an explanatory variable. The response Y is subject to random right censoring, whereas X is completely observed. Let m(x) be a conditional location function of Y given X = x. In this paper we assume that m( ⋅) belongs to some parametric class $$\mathcal{M} =\{ {m}_{\theta } : \theta \in \Theta \}$$ and we propose a new method for estimating the true unknown value θ0. The method is based on nonparametric imputation for the censored observations. The consistency and asymptotic normality of the proposed estimator are established.

Suggested Citation

  • Cédric Heuchenne & Ingrid Van Keilegom, 2011. "Estimation of a General Parametric Location in Censored Regression," Springer Books, in: Ingrid Van Keilegom & Paul W. Wilson (ed.), Exploring Research Frontiers in Contemporary Statistics and Econometrics, chapter 0, pages 177-187, Springer.
  • Handle: RePEc:spr:sprchp:978-3-7908-2349-3_8
    DOI: 10.1007/978-3-7908-2349-3_8
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