IPCW Estimator for Kendall's Tau under Bivariate Censoring
Lakhal Lajmi,
Rivest Louis-Paul and
Beaudoin David
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Lakhal Lajmi: Université Laval
Rivest Louis-Paul: Université Laval
Beaudoin David: Université Laval
The International Journal of Biostatistics, 2009, vol. 5, issue 1, 22
Abstract:
We investigate the nonparametric estimation of Kendall's coefficient of concordance, ?, for measuring the association between two variables under bivariate censoring. The proposed estimator is a modification of the estimator introduced by Oakes (1982), using a Horvitz-Thompson-type correction for the pairs that are not orderable. With censored data, a pair is orderable if one can establish whether the uncensored pair is discordant or concordant using the data available for that pair. Our estimator is shown to be consistent and asymptotically normally distributed. A simulation study shows that the proposed estimator performs well when compared with competing alternatives. The various methods are illustrated with a real data set.
Keywords: Kendall’s tau; dependence; Horvitz-Thompson estimator; Kaplan-Meier estimator; martingales (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (4)
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Persistent link: https://EconPapers.repec.org/RePEc:bpj:ijbist:v:5:y:2009:i:1:n:8
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DOI: 10.2202/1557-4679.1121
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