Exact Inference for a New Flexible Hybrid Censoring Scheme

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 Gorny 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.