Product-limit estimators of the gap time distribution of a renewal process under different sampling patterns
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Nonparametric estimation of the gap time distribution in a simple renewal process may be considered a problem in survival analysis under particular sampling frames corresponding to how the renewal process is observed. This note describes several such situations where simple product limit estimators, though inefficient, may still be useful.
KeywordsKaplan–Meier estimator Cox–Vardi estimator Laslett’s line segment problem Nonparametric maximum likelihood Markov process
This research was partially supported by a grant (RO1CA54706-12) from the National Cancer Institute and by the Danish Natural Sciences Council grant 272-06-0442 “Point process modelling and statistical inference”.
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