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Adaptive progressive Type-II censoring

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Abstract

Extending the model of progressive Type-II censoring, we introduce an adaption process. It allows us to choose the next censoring number taking into account both the previous censoring numbers and previous failure times. After deriving some distributional results, we show that maximum likelihood estimators coincide with those in deterministic progressive Type-II censoring. Finally, we establish inferential results for the one- and two-parameter exponential distribution. Using the independence of normalized spacings, we present the distributions of the maximum likelihood estimators. Moreover, explicit confidence bounds and tests of hypotheses can be established.

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Authors and Affiliations

  1. Institute of Statistics, RWTH Aachen University, 52056, Aachen, Germany

    Erhard Cramer

  2. Department of Statistics and Insurance Science, University of Piraeus, 80 Karaoli & Dimitriou str., 18534, Piraeus, Greece

    George Iliopoulos

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  1. Erhard Cramer
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  2. George Iliopoulos
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Correspondence to George Iliopoulos.

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Cramer, E., Iliopoulos, G. Adaptive progressive Type-II censoring. TEST 19, 342–358 (2010). https://doi.org/10.1007/s11749-009-0167-5

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  • DOI: https://doi.org/10.1007/s11749-009-0167-5

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