Progressive censoring methodology: an appraisal (with comments and rejoinder).

*(English)*Zbl 1121.62052Summary: Properties of progressively censored order statistics and inferential procedures based on progressively censored samples have recently attracted considerable attention in the literature. In this paper, I provide an overview of various developments that have taken place in this direction and also suggest some potential problems of interest for further research.

##### MSC:

62G30 | Order statistics; empirical distribution functions |

62N01 | Censored data models |

62N05 | Reliability and life testing |

62G05 | Nonparametric estimation |

62E99 | Statistical distribution theory |

##### Keywords:

order statistics; life-testing experiment; bounds; generalized order statistics; characterizations; Markov property; likelihood inference; reliability sampling plans; goodness-of-fit tests; prediction; competing risks; step-stress test; hybrid censoring; permanents; outliers; robustness
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\textit{N. Balakrishnan}, Test 16, No. 2, 211--259, 260--296 (2007; Zbl 1121.62052)

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