Inverse Maxwell Distribution and Statistical Process Control: An Efficient Approach for Monitoring Positively Skewed Process

Autor:	M. Hafidz Omar, Sheikh Y. Arafat, M. Pear Hossain, Muhammad Riaz
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	average run length brake pad inverse Maxwell distribution lognormal s-chart statistical process control Mathematics QA1-939
Zdroj:	Symmetry, Vol 13, Iss 2, p 189 (2021)
Druh dokumentu:	article
ISSN:	2073-8994
DOI:	10.3390/sym13020189
Popis:	(1) Background: The literature discusses the inverse Maxwell distribution theoretically without application. Control charting is promising, but needs development for inverse Maxwell processes. (2) Methods: Thus, we develop the VIM control chart for monitoring the inverse Maxwell scale parameter and studied its statistical properties. The chart’s performance is evaluated using power curves and run length properties. (3) Results: Further, we use simulated data to compare the shift detection capability of our chart with Weibull, gamma, and lognormal charts. (4) Conclusion: The analysis demonstrates our chart’s efficiency for monitoring skewed processes. Finally, we apply our chart for monitoring real world lifetimes of car brake pads.
Databáze:	Directory of Open Access Journals
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