CUSUM CONTROL CHARTS FOR TRUNCATED NORMAL DISTRIBUTION UNDER INSPECTION ERROR

Abstract

The cumulative sum (CUSUM) chart is commonly used for detecting small or moderate shifts in the fraction of defective manufactured items. However, its construction relies on the error-free inspection assumption, which can seldom be met in practice. This article has studied the effect of inspection error on the parameter of the CUSUM chart and discussed the construction of CUSUM chart in the presence of truncated normal distribution with inspection error. Expression for the parameter of the CUSUM chart has also been derived.