Upper tolerance limit for the largest observation from censored samples |
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| Authors: | Yoshikazu Takada |
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| Institution: | Department of Mathematics, Faculty of Science, Kumamoto University, Kumamoto, Japan(860)
Research completed while at the University of Tsukuba. |
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| Abstract: | This paper deals with obtaining an upper tolerance limit for a largest observation X(n) in an ordered sample of size n from a continuous distribution where the first m observations X(1) < X(2) < … < X(m), l ≤ m < n, have been observed. A criterion of “goodness” of tolerance limit is developed, and a method is given to obtain the best tolerance limit. This method is applied to exponential and Pareto distributions. |
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| Keywords: | Tolerance limits prediction interval confidence limit exponential distribution Pareto distribution |
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