CAPABILITY MEASURES FOR m-DEPENDENT STATIONARY PROCESSES |
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Authors: | SY-MIEN CHEN YU-SHENG HSU W L PEARN |
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Institution: | 1. Fu-Jen Catholic University Department of Mathematics Taipei Taiwan, R.O.C.;2. National Central University Department of Mathematics;3. National Chiao Tung University Department of Industrial Engineering and Management Taiwan, R.O.C. |
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Abstract: | Process capability indices, providing numerical measures on process potential and process performance, have received substantial research attention. Most research assumes that the process is normally distributed and the process data are independent. In real-world applications such as chemical, soft drinks, or tobacco/cigaratte manufacturing processes, process data are often auto-correlated. In this paper, we consider the capability indices Cp, Cpk, Cpm, Cpmk for strictly m-dependent stationary processes. We investigate the statistical properties of their natural estimators. We derive the asymptotic distributions, and establish confidence intervals so that capability testing can be performed. |
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Keywords: | Process Capability Index Auto-correlated Process Asymptotic Distribution Strictly |
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