The Efficiency of the 4-out-of-5 Runs Rules Scheme for Monitoring the Ratio of Population Means of a Bivariate Normal Distribution  
Author Kim Phuc Tran


Co-Author(s) Philippe Castagliola; Giovanni Celano


Abstract In order to monitor the ratio of population means of a bivariate normal distribution, Tran et al. [12] have recently suggested a procedure based on Runs Rules, called RRRZ control charts, and showed how their proposed approach efficiently detects small or moderate process shifts. The goal of this paper is to investigate the RRRZ control charts with the 4-out-of-5 Runs Rules by using a Markov chain methodology. We will also compare the performance of these rules using their Expected Average Run Length.


Keywords Ratio distribution, Markov chain, Run rules
    Article #:  22148
Proceedings of the 22nd ISSAT International Conference on Reliability and Quality in Design
August 4-6, 2016 - Los Angeles, California, U.S.A.