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On optimality of extremal schemes in progressive type II censoring

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Title: On optimality of extremal schemes in progressive type II censoring
Authors: Burkschat, M.1 burkschat@stochastik.rwth-aachen.de
Source: Journal of Statistical Planning & Inference. Jul2008, Vol. 138 Issue 6, p1647-1659. 13p.
Subjects: Order statistics, Nonparametric statistics, Stochastic orders, Experiments, Mathematical statistics
Abstract: Abstract: In a progressively type II censored life-testing experiment intact units may be removed from the experiment after every failure. If the initial number of units in the experiment and the total number of failures are fixed, the experimenter may choose between different censoring schemes. By specifying an optimality criterion, one may improve the outcome of the experiment by choosing the respective optimal scheme. We establish a simple property of a general optimality criterion that yields optimality of certain extremal schemes. Applications to some criteria that measure the total time of the experiment and its variability illustrate the approach. The results are based on stochastic orderings of generalized order statistics. [Copyright &y& Elsevier]
Copyright of Journal of Statistical Planning & Inference is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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Header DbId: egs
DbLabel: Engineering Source
An: 30733718
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: On optimality of extremal schemes in progressive type II censoring
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  Data: <searchLink fieldCode="AR" term="%22Burkschat%2C+M%2E%22">Burkschat, M.</searchLink><relatesTo>1</relatesTo><i> burkschat@stochastik.rwth-aachen.de</i>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Statistical+Planning+%26+Inference%22">Journal of Statistical Planning & Inference</searchLink>. Jul2008, Vol. 138 Issue 6, p1647-1659. 13p.
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  Data: <searchLink fieldCode="DE" term="%22Order+statistics%22">Order statistics</searchLink><br /><searchLink fieldCode="DE" term="%22Nonparametric+statistics%22">Nonparametric statistics</searchLink><br /><searchLink fieldCode="DE" term="%22Stochastic+orders%22">Stochastic orders</searchLink><br /><searchLink fieldCode="DE" term="%22Experiments%22">Experiments</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+statistics%22">Mathematical statistics</searchLink>
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  Data: Abstract: In a progressively type II censored life-testing experiment intact units may be removed from the experiment after every failure. If the initial number of units in the experiment and the total number of failures are fixed, the experimenter may choose between different censoring schemes. By specifying an optimality criterion, one may improve the outcome of the experiment by choosing the respective optimal scheme. We establish a simple property of a general optimality criterion that yields optimality of certain extremal schemes. Applications to some criteria that measure the total time of the experiment and its variability illustrate the approach. The results are based on stochastic orderings of generalized order statistics. [Copyright &y& Elsevier]
– Name: AbstractSuppliedCopyright
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  Group: Ab
  Data: <i>Copyright of Journal of Statistical Planning & Inference is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Type: doi
        Value: 10.1016/j.jspi.2007.05.042
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 13
        StartPage: 1647
    Subjects:
      – SubjectFull: Order statistics
        Type: general
      – SubjectFull: Nonparametric statistics
        Type: general
      – SubjectFull: Stochastic orders
        Type: general
      – SubjectFull: Experiments
        Type: general
      – SubjectFull: Mathematical statistics
        Type: general
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      – TitleFull: On optimality of extremal schemes in progressive type II censoring
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            – D: 01
              M: 07
              Text: Jul2008
              Type: published
              Y: 2008
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              Value: 138
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            – TitleFull: Journal of Statistical Planning & Inference
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