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Sample sizes for β‐expectation tolerance limits which control both tails of the normal distribution

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  • Youn‐Min Chou

Abstract

Sample sizes for tolerance limits are given on a normal distribution. β‐Expectation tolerance intervals are defined and constructed to control the proportion in each tail of the normal distribution. We also require with a high probability that the proportion in each tail is close to its corresponding expected coverage. Under these conditions. we dctcrniine a minimum sample size and its accompanying tolerance limits. Graphs of minimum sample sizes for the tolerance limits are provided. The computation for minimum samplc sizes is based on the bivariate noncentral t distribution. Examples are given to illustrate the use of the graphs.

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  • Youn‐Min Chou, 1984. "Sample sizes for β‐expectation tolerance limits which control both tails of the normal distribution," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 31(4), pages 601-607, December.
    • Handle: RePEc:wly:navlog:v:31:y:1984:i:4:p:601-607
    DOI: 10.1002/nav.3800310409
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