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

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  • R. B. Geskus
  • P. Groeneboom

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.

Suggested Citation

  • R. B. Geskus & P. Groeneboom, 1997. "Asymptotically optimal estimation of smooth functionals for interval censoring, part 2," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 51(2), pages 201-219, July.
    • Handle: RePEc:bla:stanee:v:51:y:1997:i:2:p:201-219
    DOI: 10.1111/1467-9574.00050
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    Cited by:

    1. Deng, Dianliang & Fang, Hong-Bin, 2009. "Asymptotics for non-parametric likelihood estimation with doubly censored multivariate failure times," Journal of Multivariate Analysis, Elsevier, vol. 100(8), pages 1802-1815, September.

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