Effect of estimation error on the conditional false alarm rate design of the EWMA chart

Author:

Haq Abdul1ORCID,Woodall William H.2ORCID

Affiliation:

1. Department of Statistics Quaid‐i‐Azam University Islamabad Pakistan

2. Department of Statistics Virginia Tech Blacksburg Virginia USA

Abstract

AbstractIn this article, we study the effect of estimation error on the conditional false alarm rate (CFAR) of the exponentially weighted moving average (EWMA) chart based on the estimated dynamic probability control limits (EDPCLs). It is found that the effect is large, but with an increase in the Phase‐I sample size, the effect of estimation error may be reduced. In addition, an alternative approach is suggested for determining the EDPCLs for the EWMA chart that may help reduce the effect of estimation error on the CFAR profiles.

Publisher

Wiley

Subject

Management Science and Operations Research,Safety, Risk, Reliability and Quality

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