• Bernoulli
  • Volume 12, Number 5 (2006), 801-819.

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

Valentin Patilea and Jean-Marie Rolin

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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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Bernoulli, Volume 12, Number 5 (2006), 801-819.

First available in Project Euclid: 23 October 2006

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bootstrap current-status data delta method left and right censoring martingales product-limit estimator strong convergence weak convergence


Patilea, Valentin; Rolin, Jean-Marie. Product-limit estimators of the survival function for two modified forms of current-status data. Bernoulli 12 (2006), no. 5, 801--819. doi:10.3150/bj/1161614947.

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