Product-limit Estimators of the Survival Function with Left or Right Censored Data
The problem of estimating the distribution of a lifetime when data may be leftor right censored is considered. Two models are introduced and the correspondingproduct-limit estimators are derived. Strong uniform convergence and asymptoticnormality are proved for the product-limit estimators on the whole range of theobservations. A bootstrap procedure that can be applied to con¯dence intervalsconstruction is proposed.
Year of publication: |
2004
|
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Authors: | Patilea, Valentin ; Rolin, Jean-Marc |
Institutions: | Centre de Recherche en Économie et Statistique (CREST), Groupe des Écoles Nationales d'Économie et Statistique (GENES) |
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