Confidence intervals for multiple-stream yield index SpkM

Wang et al. [1] proposed a multiple-stream yield index S_pk ^M. In addition to the point estimation, such as interval estimation are also important. In this paper we derived explicit forms of the cumulative distribution function and the probability density function of the estimated index S_pk ^M. We developed a practical procedure and formula to provide practitioners an efficient tool for interval estimation on the yield index S_pk ^M. An application example is illustrated. The procedure and formula are effective and easy to used, and should be expectant for in-plant applications.