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Abstract
The process capability index is a simple quantitative way to assess the capability of a process. To measure the overall yield of a multiple-stream process, Wang et al. (Citation2009) proposed a yield index, denoted by , and then provided a point estimator of
for practical industrial applications. In addition to point estimation, interval estimation plays an important role in statistical inference on the process index. In the present paper, we consider the problem of constructing the confidence interval for
. First, the sampling distribution of
is derived by applying Central Limit Theorem and the method of cumulative distribution functions. Then, the confidence intervals for
are obtained using numerical integration by coding a MATLAB computer program. Several useful tables are provided for the purpose of constructing the confidence intervals of
. A numerical example is presented to show how these tables may be applied for interval estimation of
in a real production process.
Mathematics Subject Classification:
Acknowledgment
The authors would like to thank Professor T.-Y. Koo of National Yunlin University of Science and Technology for his invaluable comments, which significantly improved the readability of the article.