A Reliable Procedure on Performance Evaluation - A Large Sample Approach Based on the Estimated Taguchi Capability Index

the Taguchi capability index Cpm has been proposed to the manufacturing industry for measuring manufacturing capability. Contributions of the estimated Taguchi capability index based on subsamples have been proposed and arrested substantial research attention. In this paper, investigations based on the proposed estimator are considered under general conditions having fourth central moment exists. The limiting distribution of the considered estimator is derived. A reliable inferential procedure based on large samples is proposed. A demonstrate example is also provided to illustrate how the proposed approach may be applied for judging whether the process runs under the desirable quality requirement.