정규분포 공정 가정하에서의 공정능력지수 에 관한 효율적인 신뢰한계
Better Confidence Limits for Process Capability Index under the assumption of Normal Process
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Abstract
Process capability index is used to determine whether a production process is capable of producing items within a specified tolerance. The index is the third generation process capability index. This index is more powerful than two useful indices and . Whether a process distribution is clearly normal or nonnormal, there may be some questions as to which any process index is valid or should even be calculated. As far as we know, yet there is no result for statistical inference with process capability index . However, asymptotic method and bootstrap could be studied for good statistical inference. In this paper, we propose various bootstrap confidence limits for our process capability index . First, we derive bootstrap asymptotic distribution of plug-in estimator of our capability index . And then we construct various bootstrap confidence limits of our capability index for more useful process capability analysis.
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