Author/Authors :
Aslam, Muhammad Department of Statistics - Faculty of Science - King Abdulaziz University - Jeddah, Saudi Arabia , Srinivasa Rao, G Department of Mathematics and Statistics - The University of Dodoma - Dodoma, Tanzania , Saleem, Muhammad Department of Industrial Engineering - Faculty of Engineering-Rabigh - King Abdulaziz University - Jeddah, Saudi Arabia , Sherwani, Rehan Ahmad Khan University of the Punjab Lahore, Pakistan , Jun, Chi-Hyuck Department of Industrial and Management Engineering - POSTECH - Pohang, Republic of Korea
Abstract :
More recently in statistical quality control studies, researchers are paying more attention to quality characteristics having
nonnormal distributions. In the present article, a generalized multiple dependent state (GMDS) sampling control chart is
proposed based on the transformation of gamma quality characteristics into a normal distribution. The parameters for the
proposed control charts are obtained using in-control average run length (ARL) at specified shape parametric values for
different specified average run lengths. The out-of-control ARL of the proposed gamma control chart using GMDS sampling is
explored using simulation for various shift size changes in scale parameters to study the performance of the control chart. The
proposed gamma control chart performs better than the existing multiple dependent state sampling (MDS) based on gamma
distribution and traditional Shewhart control charts in terms of average run lengths. A case study with real-life data from ICU
intake to death caused by COVID-19 has been incorporated for the realistic handling of the proposed control chart design.
Keywords :
COVID-19 , Generalized , GMDS , SQC
