Adaptive c-chart with estimated parameter. Issue 1 (2nd January 2017)

• Record Type: Journal Article
• Authors: Keyvandarian, Ali; Noorossana, R.; Hashemian, S. Mohammad; Maryam, Shekary A.
• Is Part Of: Communications in statistics. Volume 46:Issue 1(2017)
• Page Start: 87
• Page End: 103
• Publication Date: 2017-01-02
• Subjects: Adaptive control chart -- Average number of observations to signal -- Average time to signal -- c-Chart -- Parameter estimation.; 62P30; Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2014.985842
• Languages: English
• ISSNs: 0361-0926

Abstract

ABSTRACT: In the design of control charts, it is usually assumed that process parameters are known. However, in many practical applications the values of these parameters are unknown and should be estimated using historical in-control process observations. In this study, the performance of adaptive c-chart with estimated parameter is evaluated. It is demonstrated that by increasing the size and the number of samples in estimating the process parameter, the performance of the chart converges to that of the known parameter case. Finally the best phase I sampling scenarios are presented to make the chart with the estimated parameter perform as well as the chart with the known parameter.