One-sided Cusum Chart with V-mask for Weighted Weibull Distribution Parameter Shifts

Sayibu, Shei Baba and Muntaka, Sualihu Mohammed and Mubarika, Alhassan (2024) One-sided Cusum Chart with V-mask for Weighted Weibull Distribution Parameter Shifts. Asian Journal of Probability and Statistics, 26 (12). pp. 234-252. ISSN 2582-0230

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Abstract

In our research, we have developed a cumulative sum control chart to identify changes in the parameter of the weighted Weibull distribution. This chart incorporates the V-mask technique and a sequential ratio test. Our analysis of the V-mask revealed that even minor shifts in the weighted Weibull distribution's parameters led to significant variations in the mask's angle, lead distance, and average run length. A change in the V-mask parameters has the following importance: it can lead to an increase in false alarms, decreased detection of true signals, change in process capability, indicates the need for process adjustments, increased security from regulatory bodies, impact on supply chain and customer relationships, and the need for re-training or re-certification. Finally, we applied the cumulative sum chart to real data from the Kabsad Scientific Hospital to illustrate the sensitivity of the proposed cumulative sum control chart. The V-mask plot showed a shift in the process mean of the dataset.

Item Type: Article
Subjects: SCI Archives > Mathematical Science
Depositing User: Managing Editor
Date Deposited: 10 Jan 2025 06:51
Last Modified: 10 Jan 2025 06:51
URI: http://research.researcheprinthub.in/id/eprint/4256

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