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A Bayesian way of monitoring the linear profiles using CUSUM control charts
Authors:Tahir Abbas  Shabbir Ahmad  Muhammad Riaz  Zhengming Qian
Affiliation:1. Department of Statistics, Government College University Lahore, Lahore, Pakistan;2. Department of Mathematics, COMSATS Institute of Information Technology, Wah Cantt, Pakistan;3. Department of Mathematics and Statistics, King Fahad University of Petroleum and Minerals, Dhahran, Saudi Arabia;4. Department of Statistics, School of Economics, Xiamen University, Xiamen, China
Abstract:In statistical process control applications, profiles functions are considered an efficient way of representing quality of products or processes. Classical and Bayesian thoughts are two chief sources of defining control charting structures for profiles monitoring. This Study introduces novel Bayesian CUSUM control structures for profiles monitoring. The comprehensive comparative study identifies that the proposed Bayesian CUSUM control charts under conjugate priors has better expected performance than competing methods. The implementation of Bayesian structures requires detailed information about process parameters which come up with considerable benefits. In addition, simulative example and case study further justified the superiority of proposed techniques.
Keywords:Average run length (ARL)  Extra quadratic loss (EQL)  Linear profiles  Phase I and II  Posterior distribution
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