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Nonparametric estimation for a current status right‐censored data model

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  • Sergey V. Malov

Abstract

We consider the Case 1 interval censoring approach for right‐censored survival data. An important feature of the model is that right‐censored event times are not observed exactly, but at some inspection times. The model covers as particular cases right‐censored data, current status data, and life table survival data with a single inspection time. We discuss the nonparametric estimation approach and consider three nonparametric estimators for the survival function of failure time: maximum likelihood, pseudolikelihood, and the naïve estimator. We establish strong consistency of the estimators with the L1 rate of convergence. Simulation results confirm consistency of the estimators.

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  • Sergey V. Malov, 2019. "Nonparametric estimation for a current status right‐censored data model," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 73(4), pages 475-495, November.
    • Handle: RePEc:bla:stanee:v:73:y:2019:i:4:p:475-495
    DOI: 10.1111/stan.12180
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