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Confidence intervals for the current status model

2016/11/24 by Piet Groeneboom, Groeneboom, Piet, Kim Hendrickx +1
Mathematics · Computer Science · #Statistical Methods and Inference #Statistical Methods and Bayesian Inference #Bayesian Methods and Mixture Models

paper · pdf · doi:10.48550/arxiv.1611.08299

Abstract

We discuss a new way of constructing pointwise confidence intervals for the distribution function in the current status model. The confidence intervals are based on the smoothed maximum likelihood estimator (SMLE) and constructed using bootstrap methods. Other methods to construct confidence intervals, using the non-standard limit distribution of the (restricted) MLE, are compared to our approach via simulations and real data applications.

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