A computationally efficient self-starting scheme to monitor general linear profiles with abrupt changes. Issue 3 (4th May 2019)

• Record Type: Journal Article
• Authors: Xia, Zhiming; Tsung, Fugee
• Is Part Of: Quality technology & quantitative management. Volume 16:Issue 3(2019)
• Page Start: 278
• Page End: 296
• Publication Date: 2019-05-04
• Subjects: Linear profile -- self-starting -- SPC -- Wald-type charting statistic; Quality control -- Periodicals; Quality control -- Statistical methods -- Periodicals; Industrial management -- Periodicals; Industrial management; Management -- Research -- Methodology -- Periodicals; Qualitative research -- Periodicals; Management; Quality control; Quality control -- Statistical methods; Periodicals; 658.00721
• DOI: 10.1080/16843703.2017.1396956
• Languages: English
• ISSNs: 1684-3703

Abstract

Abstract: A self-starting monitoring scheme is proposed in this paper for the simultaneous detection of variance and coefficients in linear profiles with unknown error distributions. Based on the global data, we construct a sequential Wald-type charting statistic, obtain the corresponding asymptotical distributions and further provide a recursive algorithm to quickly calculate statistics sequentially. Control limits of our charting statistics are also constructed based on their asymptotical distributions. Finally, we apply our method to analyze both artificial and real data, and numerical results show that our method performs well.