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Operating Characteristic Curves for the Exponential Bayes‐Truncated Test
Author(s) -
Wang FuKwun,
Keats J. Bert
Publication year - 2004
Publication title -
quality and reliability engineering international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 62
eISSN - 1099-1638
pISSN - 0748-8017
DOI - 10.1002/qre.546
Subject(s) - bayes' theorem , exponential distribution , sample (material) , exponential function , statistics , mathematics , sample size determination , sequential analysis , table (database) , computer science , bayesian probability , data mining , chromatography , mathematical analysis , chemistry
Operating characteristic (OC) curves are often useful in determining how large a sample is required to detect a specified difference for a particular consumer and producer risk. In this paper, OC curves with Bayes stopping rules for the exponential distribution are developed. Example curves are provided for the sequential and batch testing situations. The power of the test is greater under batch testing. A table illustrates the performance of the plans for stopping at each opportunity in a sample of size 20. Some examples are used to demonstrate the application of the proposed methodology. Copyright © 2004 John Wiley & Sons, Ltd.