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- Title
EMPIRICAL FOURIER METHODS FOR INTERVAL CENSORED DATA.
- Authors
Hall, Peter G.; Braun, W. John; Duchesne, Thierry
- Abstract
Methods for estimating the probability density function are considered under the circumstance that the underlying measurements are interval-censored. Density and distribution function estimators are proposed under parametric and nonparametric assumptions on the censoring mechanism. Conditions for identi- fiability and consistency of the estimates are established theoretically, and it is shown that under such conditions, the estimates converge to the truth at a polyno- mial rate in the inverse sample size. An online supplement contains the technical arguments as well as practical guidelines for numerical implementation of the pro- posed methods. The core of the theory in this paper was originally drafted by Peter Hall in early 2010, following discussions at a workshop on mismeasured data held in Canada in December, 2009 at which Peter was the keynote speaker. The co-authors are grateful for the follow-up conversations held with Peter by long distance over the years prior to his regretful passing.
- Subjects
SEPARATION of variables; PROBABILITY density function; EMPIRICAL research; DISTRIBUTION (Probability theory); CENSORSHIP; CENSORING (Statistics)
- Publication
Statistica Sinica, 2018, Vol 28, Issue 4, p2811
- ISSN
1017-0405
- Publication type
Article
- DOI
10.5705/ss.202017.0057