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SB-robustness of Performance Measures of Control Chart

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  • Laha, A. K.
  • Raja, Pravida

Abstract

Control charts play a very important role in the control of manufacturing processes. In this paper we consider the commonly used performance measures for control charts and study their SB-robustness. It is shown that the False Alarm Probability, Average Sample Number (ASN) when the process is in-control, No-Signal Probability and ASN when the process is out-of-control are all SB-robust at the family of all normal distributions with bounded mean and standard deviation. It is also shown that these performance measures are not SB-robust at the larger family of normal distributions with unbounded mean and standard deviation.

Suggested Citation

  • Laha, A. K. & Raja, Pravida, 2013. "SB-robustness of Performance Measures of Control Chart," IIMA Working Papers WP2013-04-01, Indian Institute of Management Ahmedabad, Research and Publication Department.
    • Handle: RePEc:iim:iimawp:12099
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