The Entropy of Progressively Censored Samples

In many life-testing and reliability studies, the experimenter might not always obtain complete information on failure times for all experimental units. Among the different censoring schemes, the progressive censoring scheme has received a considerable attention in the last few years. The aim of thi...

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Bibliographic Details
Published in:Entropy (Basel, Switzerland) Switzerland), 2011-02, Vol.13 (2), p.437-449
Main Author: Abo-Eleneen, Z. A.
Format: Article
Language:English
Subjects:
entropy
Markov chain
order statistics
progressive censoring
recurrence relations
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Summary:In many life-testing and reliability studies, the experimenter might not always obtain complete information on failure times for all experimental units. Among the different censoring schemes, the progressive censoring scheme has received a considerable attention in the last few years. The aim of this paper is simplifying the entropy of progressively Type II censored samples. We propose an indirect approach using a decomposition of the entropy in progressively Type II censored samples to simplify the calculation. Some recurrence relations for the entropy in progressively Type II censored samples are derived to facilitate this calculation. An efficient computational method is derived that simplifies computation of the entropy in progressively Type II censored samples to a sum; entropy in collections order statistics. We compute the entropy in a collection of progressively Type II censored samples for some known distributions.
ISSN:1099-4300
1099-4300
DOI:10.3390/e13020437