The Effect of Misclassification Due to Measurement Error on CUSUM Control Charts for Intervened Poisson Distribution

DOI: 10.12957/cadest.2017.25564 In this paper the one-sided CUSUM chart for controlling the incidence and intervention parameters of the IPD under misclassification error due to measurement is discussed. Explicit formulae are derived for this purpose. The sensitivity of the parameters of the V-mask and the Average Run Length (ARL) is studied through numerical evaluation for grid of values. Numerical results presented reveal that the angle ø of the mask increases slightly as shift in the ratio ƟƐ1/ ƟƐ2 decreases, whereas, for fixed α, the values of decrease considerably as the deviation of ƟƐ0 from ƟƐ1 increases. It is also shown that measurement error lessens the consumer’s risk, e2 (because it gives early detection for the shift of the process parameter) and increases the producer’s risk, e1 . Further for fixed ,e1 , α, ƟƐ0,ƟƐ1 , the values of ρ . Keywords: Measurement error, Misclassification, Intervened Poisson distribution.