Product-limit estimators of the survival function for two modified forms of current-status data

Patilea, Valentin;Rolin, Jean-Marie
(2006) Bernoulli : a journal of mathematical statistics and probability — Vol. 12, n° 5, p. 801-819 (2006)

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  • Patilea, Valentin
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  • Rolin, Jean-MarieUCLouvain
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Abstract
The problem of estimating the distribution of a lifetime that may be left or right censored is considered. Two data structures that extend the classical current-status data framework are introduced and the corresponding product-limit estimators are derived. The strong uniform convergence and asymptotic normality of the product-limit estimators are proved. A bootstrap procedure that can be applied to confidence intervals construction is proposed.
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Patilea, V., & Rolin, J.-M. (2006). Product-limit estimators of the survival function for two modified forms of current-status data. Bernoulli : a journal of mathematical statistics and probability, 12(5), 801-819. https://doi.org/10.3150/bj/1161614947 (Original work published 2006)