A BOX- COX CONTROL CHART FOR MODIFIED BURR III DISTRIBUTION
Sivaranjini R* and Vijayashankar N
1 Research scholar, Department of Statistics, Annamalai University, Annamalai Nagar, Tamil Nadu, India.
2 Assistant Professor of Statistics Department of Statistics, Annamalai University, Annamalai Nagar, Tamil Nadu, India
Corresponding author : firstname.lastname@example.org
The Modified Burr III (MBIII) distribution is a new exponential family of distributions that we have introduced in the process of control chart. The proposed model is positively skewed, with a declining or unimodal form (depending on its parameter values). The MBIII distribution’s statistical features are investigated and derived to evaluate the process of control chart. We’ve created Box-Cox control charts in mean and variance, for 3 sigma level as we assume the data is non-normal. Finally, as an example, an application to a simulation data set that is fit in the derived equation of the 3 sigma level to test the control of the selected distribution is shown.
KEY WORDS: Box-Cox,Control Chart, Mean, Variance, and MBIII distribution.