Geodesic
On estimation of conditional distribution function under dependent random right censored data
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 7 (2014) no. 4, pp. 409-416

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In this article we study simple integral-type estimator of distribution function under random right censored observations at fixed covariate values, where the dependence between a life time and a censoring variable may expressed by a given Archimedean copula. We prove an almost sure asymptotic representation which provides a key tool for obtaining weak convergence result for estimator.
Keywords: fixed design, right censoring, copulas, asymptotic representation, weak convergence, Gaussian process. 
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Abdurahim A. Abdushukurov; Rustamjon S. Muradov. On estimation of conditional distribution function under dependent random right censored data. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 7 (2014) no. 4, pp. 409-416. http://geodesic.mathdoc.fr/item/JSFU_2014_7_4_a0/