Bootstrap control charts for quantiles based on log‐symmetric distributions with applications to the monitoring of reliability data

Abstract In this work, a methodology to monitor a shift in the quantile of a distribution that is a member of the log‐symmetric family is proposed. Because the sampling distribution of a quantile estimator is often not available, the parametric bootstrap method is used to determine this sampling distribution and to establish the control limits when the process measurements follow a log‐symmetric distribution. The mentioned family is helpful …