The effects of parameter estimation are examined for the well-known c-chart for attributes data. The exact run length distribution is obtained for Phase II applications, when the true average number of non-conformities, c, is unknown, by conditioning on the observed number of non-conformities in...

Using Markov chain representations, we evaluate and compare the performance of cumulative sum (CUSUM) and Shiryayev-Roberts methods in terms of the zero- and steady-state average run length and worst-case signal resistance measures. We also calculate the signal resistance values from the worst-...

This article studies a unique feature of the binomial CUSUM chart in which the difference (dt-d0) is replaced by (dt-d0)2 in the formulation of the cumulative sum Ct (where dt and d0 are the actual and in-control numbers of nonconforming units, respectively, in a sample). Performance studies are...