Nonparametric estimation from length-biased data under competing risks |
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Authors: | Jacobo de Uñ a-Á lvarez |
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Affiliation: | Department of Statistics and Operations Research, University of Vigo, 36310 Vigo, Spain |
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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. |
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Keywords: | Censored data Cross-section EM-algorithm Nonparametric likelihood Self-consistency |
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