Asymptotically optimal estimation of smooth functionals for interval censoring, part 2

R. B. Geskus and P. Groeneboom

Statistica Neerlandica, 1997, vol. 51, issue 2, 201-219

Abstract: Estimation in the interval censoring model is considered. A class of smooth functionals is introduced, of which the mean is an example. We consider case 2, with two observation times for each unobservable event time, in the situation that the observation times cannot become arbitrarily close to each other. It is proved that the nonparametric maximum likelihood estimator of the functional asymptotically reaches the information lower bound.

Date: 1997
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