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Modularization of hybrid censoring schemes and its application to unified progressive hybrid censoring. (English) Zbl 1459.62182
Summary: In this paper, a structural analysis of hybrid censoring models is presented. This new modularization approach to hybrid censoring models enables a convenient derivation of distributional results. For instance, it allows to derive the exact distribution of the MLEs under an exponential assumption for very complex hybrid scenarios. In order to illustrate the benefit of this idea, we apply it to four new unified progressive hybrid censoring schemes. They are extensions of already proposed unified Type-I/II/III/IV hybrid censoring schemes to progressively Type-II censored data. The resulting analysis shows that the modularization approach provides a powerful, efficient, and elegant tool to study even more complex hybrid censoring models.

MSC:
62N01 Censored data models
62H12 Estimation in multivariate analysis
65D07 Numerical computation using splines
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