a multivariate p-chart‎ ‎with a suggestion for measurement error correction

This study aims to introduce a new multivariate ‎‎p‎-chart using a structure of the multivariate bernoulli distribution‎. ‎in this structure‎, ‎we consider a class of dependent bernoulli variables where the conditional success probability is a linear combination of the last few trials and the original success probability‎. ‎the efficiency of the proposed control chart is investigated in terms of the average run length criterion with two approaches‎. ‎also‎, ‎the issue of misclassification and measurement error in binary random variables is discussed, and ‎another control chart based on the corrected ‎proportion of non-conforming products is proposed‎.