title: Estimation from current-status data in continuous time.
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.
authors.affiliation: University of Copenhagen, Denmark.
authors.forename: N
authors.initials: N
authors.lastname: Keiding
authors.forename: K
authors.initials: K
authors.lastname: Begtrup
authors.forename: T H
authors.initials: TH
authors.lastname: Scheike
authors.forename: G
authors.initials: G
authors.lastname: Hasibeder
mesh_terms: D000293:Adolescent; D000328:Adult; D017677:Age Distribution; D000368:Aged; D002648:Child; D002675:Child, Preschool; D003627:Data Interpretation, Statistical; D006801:Humans; D007114:Immunization / Q000706:statistics & numerical data; D007223:Infant; D007231:Infant, Newborn; D015993:Life Tables; D016013:Likelihood Functions; D008875:Middle Aged