Ioannis S. Triantafyllou
Department of Computer Science & Biomedical Informatics, University of Thessaly, Lamia 35131, Greece.

Mangey Ram
Department of Mathematics, Computer Science & Engineering, Graphic Era Deemed to be University, Dehradun-248002, Uttarakhand, India.

DOI https://doi.org/10.33889/IJMEMS.2021.6.4.058

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Abstract

In the present paper we provide an up-to-date overview of nonparametric Cumulative Sum (CUSUM) monitoring schemes. Due to their nonparametric nature, such memory-type schemes are proved to be very useful for monitoring industrial processes, where the output does not match to a particular distributional model. Several fundamental contributions on the topic are mentioned, while recent advances are also presented in some detail. In addition, some practical applications of the nonparametric CUSUM-type control charts are highlighted, in order to emphasize their crucial role in the contemporary online Statistical Process Control.

Keywords- Distribution-free statistical methods, Rank-based procedures, Nonparametric statistical process control, Cumulative sum control charts, Sign statistics.

Citation

Triantafyllou, I. S., & Ram, M. (2021). Distribution-Free CUSUM-Type Control Charts for Monitoring Industrial Processes: An Overview. International Journal of Mathematical, Engineering and Management Sciences, 6(4), 975-1008. https://doi.org/10.33889/IJMEMS.2021.6.4.058.