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Sayed Jamal Mirkamali

Sayed Jamal Mirkamali

Academic rank: Assistant Professor
ORCID: https://orcid.org/0000-0001-7513-4423
Education: PhD.
ScopusId: 35739053200
Faculty: Science
Address: Arak University


An improved exponentially weighted moving average chart for monitoring proportions using maxima nomination sampling
EWMA, Markov Chain, maxima nomination sampling, np-chart, ranked set sampling, statistical process control
Journal Journal of Statistical Computation and Simulation
Researchers Sayed Jamal Mirkamali


We develop a new proportion control chart using the exponentially weighted moving average (EWMA) for the maxima nomination sam- pling (MNS) method. By using average run length (ARL), we compare it with conventional Shewhart and EWMA control charts based on the simple random sampling (SRS) method. We study the effect of the sample size, the set size, the in-control and out-of-control non- conforming proportion, the smoothing parameter, and the refine- ment factor on the performance of MNS-EWMA charts using ARL curves. We show that the MNS-EWMA control chart is an excellent indicator of changes in the quality of processes relative to SRS- Shewhart and SRS-EWMA charts. We present optimal ranges for the smoothing parameter of MNS-EWMA charts. An illustrative example with simulated data is enclosed. The results show that MNS-EWMA control charts produce significant enhancement over the traditional charts based on SRS.