A heuristic approach for near optimal truncated sequential test of exponential distribution

Optimal truncated sequential test of the exponential distribution is studied in this paper. Definitions and relative concepts of optimal truncated sequential test are discussed. A heuristic approach, sample space sorting method (SSSM) and the procedures are established to solve a near optimal trunca...

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Published inSequential analysis Vol. 37; no. 4; pp. 431 - 454
Main Authors Hu, Sigui, Wang, Honglei
Format Journal Article
LanguageEnglish
Published Philadelphia Taylor & Francis 02.10.2018
Taylor & Francis Ltd
Subjects
Computational statistics
Heuristic methods
optimal design
Probability distribution functions
quality control
sequential test
Testing time
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Abstract Optimal truncated sequential test of the exponential distribution is studied in this paper. Definitions and relative concepts of optimal truncated sequential test are discussed. A heuristic approach, sample space sorting method (SSSM) and the procedures are established to solve a near optimal truncated sequential test. Comparing with the test plans provided by international standard IEC 61124 ( 2012 ) and Russian national standard GOST R 27.402 ( 1995 ), the results show that the near optimal tests proposed in this paper can keep the error probabilities almost equivalence to the nominal error levels and save more synthetical expected test times and maximum expected test times simultaneously.
AbstractList Optimal truncated sequential test of the exponential distribution is studied in this paper. Definitions and relative concepts of optimal truncated sequential test are discussed. A heuristic approach, sample space sorting method (SSSM) and the procedures are established to solve a near optimal truncated sequential test. Comparing with the test plans provided by international standard IEC 61124 ( 2012 ) and Russian national standard GOST R 27.402 ( 1995 ), the results show that the near optimal tests proposed in this paper can keep the error probabilities almost equivalence to the nominal error levels and save more synthetical expected test times and maximum expected test times simultaneously.
Optimal truncated sequential test of the exponential distribution is studied in this paper. Definitions and relative concepts of optimal truncated sequential test are discussed. A heuristic approach, sample space sorting method (SSSM) and the procedures are established to solve a near optimal truncated sequential test. Comparing with the test plans provided by international standard IEC 61124 (2012) and Russian national standard GOST R 27.402 (1995), the results show that the near optimal tests proposed in this paper can keep the error probabilities almost equivalence to the nominal error levels and save more synthetical expected test times and maximum expected test times simultaneously.
Author Hu, Sigui
Wang, Honglei
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  organization: College of Management, Guizhou University
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Snippet Optimal truncated sequential test of the exponential distribution is studied in this paper. Definitions and relative concepts of optimal truncated sequential...
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SubjectTerms Computational statistics
Heuristic methods
optimal design
Probability distribution functions
quality control
sequential test
Testing time
Title A heuristic approach for near optimal truncated sequential test of exponential distribution
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