This paper proposes a heuristic method based on adjusted weighted standard deviation for constructing R chart for skewed process distributions. The asymmetric control limits of the chart are established with no assumption to the process distribution. If the process distribution is symmetric, these control limits are equivalent to those of Shewhart R chart. The proposed control limits are compared with weighted variance R chart and skewness correction R chart by Monte Carlo simulation. When the process distribution is Weibull or gamma, simulation results show that the proposed R chart performs better than both weighted variance and skewness correction R charts as the skewness and the sample size increase. For the case where the process distribution is exponential with known mean, the Type I risk and Type II risk of the proposed R chart are closer to those of the exact R chart than those of the weighted variance and skewness correction R charts.
關聯:
Brazilian Journal of Probability and Statistics 22(1), pp.9-22
