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Nonparametric estimation from length-biased data under competing risks
Authors:Jacobo de Uñ  a-Á  lvarez
Affiliation:Department of Statistics and Operations Research, University of Vigo, 36310 Vigo, Spain
Abstract:A new model for cross-sectional lifetime data is presented. The model is based on the length-bias assumption, and it is adapted to situations in which several types of censoring may occur. The NPMLE of the survival function is derived. An EM-algorithm to approximate the NPMLE is devised. The performance of the introduced estimator is investigated through simulations. A real set of data collected as part of a study on unemployment duration in Spain is used for illustration purposes.
Keywords:Censored data   Cross-section   EM-algorithm   Nonparametric likelihood   Self-consistency
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