Trimmed and winsorized semiparametric estimator for left-truncated and right-censored regression models

Myoung-jae Lee, Maria Karlsson

Research output: Contribution to journalArticle


For a linear regression model subject to left-truncation and right-censoring where the truncation and censoring points are known constants (or always observed if random), Karlsson and Laitila (Stat Probab Lett 78:2567–2571, 2008) proposed a semiparametric estimator which deals with left-truncation by trimming and right-censoring by ‘winsorizing’. The estimator was motivated by a zero moment condition where a transformed error term appears with trimmed and winsorized tails. This paper takes the semiparametric estimator further by deriving the asymptotic distribution that was not shown in Karlsson and Laitila (Stat Probab Lett 78:2567–2571, 2008) and discusses its implementation aspects in practice, albeit brief.

Original languageEnglish
Pages (from-to)485-495
Number of pages11
Issue number4
Publication statusPublished - 2015 May 1



  • Left truncation
  • LTRC
  • Right censoring
  • Semiparametrics
  • Trimmed mean
  • Winsorized mean

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

Cite this