Abstract
The nonparametric maximum likelihood estimator for current-status data has been known for at least 40 years, but only recently have the mathematical-statistical properties been clarified. This note provides a case study in the important and often studied context of estimating age-specific immunization intensities from a seroprevalence survey. Fully parametric and spline-based alternatives (also based on continuous-time models) are given. The basic reproduction number R 0 exemplifies estimation of a functional. The limitations implied by the necessarily rather restrictive epidemiological assumptions are briefly discussed.
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Keiding, N., Begtrup, K., Scheike, T.H. et al. Estimation from current-status data in continuous time. Lifetime Data Anal 2, 119–129 (1996). https://doi.org/10.1007/BF00128570
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DOI: https://doi.org/10.1007/BF00128570