Estimation from current-status data in continuous time

Niels Keiding; Kamilla Begtrup; Thomas H. Scheike; Günther Hasibeder

doi:10.1007/BF00128570

Estimation from current-status data in continuous time

Niels Keiding, Kamilla Begtrup, Thomas H. Scheike, Günther Hasibeder

Section of Biostatistics

Research output: Contribution to journal › Journal article › Research › peer-review

45 Citations (Scopus)

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 R₀ exemplifies estimation of a functional. The limitations implied by the necessarily rather restrictive epidemiological assumptions are briefly discussed.

Original language	English
Journal	Lifetime Data Analysis
Volume	2
Issue number	2
Pages (from-to)	119-129
Number of pages	11
ISSN	1380-7870
DOIs	https://doi.org/10.1007/BF00128570
Publication status	Published - Jun 1996

Keywords

Age-specific incidence
Basic reproduction number
Epidemiology
Smoothing splines
Weibull survival distribution

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10.1007/BF00128570

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Estimation from current-status data in continuous time

Abstract

Keywords

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