Association measures for bivariate failure times in the presence of a cure fraction

Lajmi Lakhal-Chaieb () and Thierry Duchesne ()
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Lajmi Lakhal-Chaieb: Université Laval
Thierry Duchesne: Université Laval

Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, 2017, vol. 23, issue 4, No 1, 517-532

Abstract: Abstract This paper proposes a new joint model for pairs of failure times in the presence of a cure fraction. The proposed model relaxes some of the assumptions required by the existing approaches. This allows us to add some flexibility to the dependence structure and to widen the range of association measures that can be defined. A numerically stable iterative algorithm based on estimating equations is proposed to estimate the parameters. The estimators are shown to be consistent and asymptotically normal. Simulations show that they have good finite-sample properties. The added flexibility of the proposal is illustrated with an application to data from a diabetes retinopathy study.

Keywords: Association measure; Copula; es-algorithm; Kendall’s tau; Linear transformation model (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10985-016-9371-2

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