Article ID: | iaor201528931 |
Volume: | 31 |
Issue: | 6 |
Start Page Number: | 923 |
End Page Number: | 934 |
Publication Date: | Oct 2015 |
Journal: | Quality and Reliability Engineering International |
Authors: | Kim Seong-Hee |
Keywords: | statistics: sampling, simulation |
We present a distribution‐free tabular cumulative sum chart for monitoring the variability of an autocorrelated process. A quantity known as the asymptotic variance parameter is employed as a measure of the variability, and a distribution‐free tabular cumulative sum chart is applied to variance estimates calculated from batches of nonoverlapping samples. The proposed chart is applicable to a stationary process with a general marginal distribution and a general autocorrelation structure. It also determines control limits analytically without trial‐and‐error simulations. The performance of the proposed chart is tested on stationary processes with both normal and nonnormal marginals with various autocorrelation structures.