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A Control Chart Based on Two-piece Normal Distribution Using Repetitive Sampling

Author(s)
Gadde Srinivas Rao Department of Statistics, School of Mathematical Sciences, CNMS, The University of Dodoma, Dodoma, PO. Box: 259, Tanzania.
Muhammad Aslam Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah
Muhammad Azam Department of Statistics and Computer Science, University of Veterinary and Animal Sciences, Lahore 54000, Pakistan
Chi-Hyuck Jun Department of Industrial and Management Engineering, POSTECH, Pohang 790-784, Republic of Korea
Abstract
In this manuscript, a control chart is designed for two-piece normal distribution using repetitive sampling. The necessary measures to determine the average run lengths for in control and out-of-control process are given. The average run lengths are presented for various specified parameters and shift constants. The efficiency of the proposed chart is compared with the existing control chart using single sampling. The application of the proposed chart is given with the help of an example.
Publication Details
Page(s) 961-973
DOI DOI not available
Published Journal: Pakistan Journal of Statistics and Operation Research, Volume: 14, Issue: 4, Year: 2018

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Keywords
Repetitive Sampling, Average Run Length, control chart, Two-piece normal distribution
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