On the Sampling Distributions of the Estimated Process Loss Indices with Asymmetric Tolerances |
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| Authors: | Y C Chang W L Pearn Chien-Wei Wu |
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| Institution: | 1. Department of Industrial Engineering and Management , Ching Yun University , Taiwan ycchang@cyu.edu.tw;3. Department of Industrial Engineering and Management , National Chiao Tung University , Taiwan;4. Department of Industrial Engineering and Systems Management , Feng Chia University , Taiwan |
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| Abstract: | The inverse Gaussian distribution provides a flexible model for analyzing positive, right-skewed data. The generalized variable test for equality of several inverse Gaussian means with unknown and arbitrary variances has satisfactory Type-I error rate when the number of samples (k) is small (Tian, 2006). However, the Type-I error rate tends to be inflated when k goes up. In this article, we propose a parametric bootstrap (PB) approach for this problem. Simulation results show that the proposed test performs very satisfactorily regardless of the number of samples and sample sizes. This method is illustrated by an example. |
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| Keywords: | Asymmetric tolerances Decision-making rule Process capability indices Process loss indices Sampling distributions |
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