Proceedings of the Korean Society for Quality Management Conference (한국품질경영학회:학술대회논문집)

Korean Society for Quality Management (한국품질경영학회)
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Bootstrap Confidence Regions of 2-dimensional Vector-valued Process Capability Indices $C_p\;and\;C_{pk}$

  • Park Byoung-Sun (Measurement & Quality Service Group, Korea Research Institute of Standards and Science Kyonggi University) ;
  • Nam Kyung-Hyun (Division of Economics, Kyonggi University) ;
  • Cho Joong-Jae (Department of Information Statistics, Chungbuk National University)
  • Published : 2004.04.01
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Abstract

In actual manufacturing industries, process capability indices(PCI) are used to determine whether a production process is capable of producing items within a specified specification limits. We study some vector-valued PCIs $C_p=(C_{px},\;C_{py})$ and $C_{pk}=(C_{pkx},\; C_{pky})$ in this article. We propose some asymptotic confidence regions of PCIs with bootstrapping and examine the performance of those asymptotic confidence regions under the assumption of bivariate normal distribution.

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