Extreme Value Charts & Analysis of Means Based on the New Weighted Exponential Distribution

Authors

Anil Arepalli, Assistant Prof
Faculty of Statistics, Department of Basic Science & Humanities, Dhankeula Institute of Engineering & Technology.
B. Srinivasa Rao, Associate Prof
Faculty of Statistics, Department of Mathematics & Humanities, R.V.R & J.C College of Engineering.

Abstract

It is assumed that the probabilistic model of the quality characteristics follows the new weighted exponential distribution. Control charts based on each subgroup’s extreme values are established. The constants in the control chart are determined by the probability distribution of the extreme value order statistics of the sub-group and the sub-group size. The proposed chart is thus referred to as an extreme values chart. A biased overall mean analysis method (ANOM for truncated population) is used for the new weighted exponential distribution. Examples based on real time data are used to explain the findings.