Abstract
AbstractWe discuss some classical estimator based modified control charts for phase‐II monitoring in real life. The modification of some existing control charts such as exponentially weighted moving average (EWMA) and extended exponentially weighted moving average (EEWMA) is proposed and compared for the situation when the assumption of normality is not fulfilled due to some unavoidable factors. We first estimate the shape parameter of power function distribution using percentile estimator and maximum likelihood estimator and then propose EWMA and EEWMA based on these estimators. Monte Carlo simulation studies are used to compare the introduced control charts. The findings will be helpful for the practitioners and statisticians to devise the real‐life solution to the problems.
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