• Title of article

    A presmooth estimator of unbiased distributions with length‑biased data

  • Author/Authors

    Heidari, Reza Department of Statistics - Faculty of Mathematical Sciences - Ferdowsi University of Mashhad , Fakoor, Vahid Department of Statistics - Faculty of Mathematical Sciences - Ferdowsi University of Mashhad , Shariati, Ali Department of Statistics - Faculty of Mathematical Sciences - Ferdowsi University of Mashhad

  • Pages
    7
  • From page
    317
  • To page
    323
  • Abstract
    In this paper, we propose a presmooth product-limit estimator to draw statistical inference on the unbiased distribution function representing the population of interest. The strong consistency of the estimator proposed is investigated. The finite sample performance of the proposed estimator is evaluated using simulation studies. It is observed that the proposed estimator exhibits greater efficiency in comparison with the alternative method in de Uña-Álvarez (Test 11(1):109–125, 2002).
  • Keywords
    Kaplan–Meier estimator , Length-biased data , Presmooth estimator , Random right censoring
  • Serial Year
    2019
  • Record number

    2494022