Exact Inference for a New Flexible Hybrid Censoring Scheme

Research Article
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Abstract

We introduce a new hybrid censoring scheme called general unified (progressive) hybrid censoring and study its properties by applying the modularization technique proposed in Górny and Cramer (Metrika 81(2):173–210, 2018a). For exponentially distributed lifetimes, we illustrate that already known progressive hybrid censoring models are included as particular cases. Further, we determine the exact distribution of the maximum likelihood estimators (MLEs) for an underlying exponential and uniform distribution under general unified progressive hybrid censoring and general unified hybrid censoring, respectively. The results are applied to construct exact confidence intervals.

Keywords

Hybrid censoring Progressive censoring General unified hybrid censoring General unified progressive hybrid censoring Modularization Exponential distribution Uniform distribution B-spline Gamma distribution 

Notes

Acknowledgements

We are grateful to an anonymous referee for the valuable comments and suggestions which led to both an extension and an improved presentation of the results.

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Copyright information

© The Indian Society for Probability and Statistics (ISPS) 2018

Authors and Affiliations

  1. 1.Institute of StatisticsRWTH Aachen UniversityAachenGermany

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