A multivariate p-chart with a suggestion for measurement error correction
نویسندگان
1 Department of Statistics, Payame Noor University, Tehran, Iran
2 Department of Statistics, Yazd University, Yazd, Iran
doi
10.22034/jsmta.2024.21426.1136چکیده
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.