Modularization of hybrid censoring schemes and its application to unified progressive hybrid censoring

Julian Górny () and Erhard Cramer
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Julian Górny: RWTH Aachen University
Erhard Cramer: RWTH Aachen University

Metrika: International Journal for Theoretical and Applied Statistics, 2018, vol. 81, issue 2, No 4, 173-210

Abstract: Abstract 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.

Keywords: Hybrid censoring; Progressive censoring; Modularization; Unified progressive hybrid censoring; Exponential distribution; B-spline; Gamma distribution (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s00184-017-0639-7

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