Nonparametric estimation from length-biased data under competing risks. (English) Zbl 1161.62351
Summary: 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.
MSC:
| 62G05 | Nonparametric estimation |
| 62N02 | Estimation in survival analysis and censored data |
| 62N01 | Censored data models |
| 65C60 | Computational problems in statistics (MSC2010) |
References:
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