Robust Scale Estimator-Based Control Charts for Marshall-Olkin Inverse Log-Logistic Distribution

Aako, O. L. and Adewara, J. A. and Adekeye, K. S. and Nkemnole, E. B. (2020) Robust Scale Estimator-Based Control Charts for Marshall-Olkin Inverse Log-Logistic Distribution. BENIN JOURNAL OF STATISTICS, 3. pp. 33-65. ISSN 2682-5767

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Abstract

The combination of Shewhart X and S-control charts developed to control the process variability based on the assumption that the underlying distribution of the quality characteristic is normal. The normality assumption is often violated when the underlying distribution of the characteristic under consideration is skewed; therefore, the use of the Shewhart X and S control charts on real-life data might lead to inaccurate estimation of control limits. The robust methods of estimation of control chart statistics can be used in such situations. In this paper, the robust scale estimator was used to estimate the mean, variance and median based on Marshall-Olkin Inverse log-logistic distribution. Monte Carlo simulation study was conducted using Marshall-Olkin Inverse log-logistic distribution to determine the performance of the proposed method in comparison with the Shewhart S and MAD methods. The proposed control limits showed an improvement over the Shewhart and stocktickerMAD control charts for non-normal process.

Item Type:	Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User:	Mr Taiwo Egbeyemi
Date Deposited:	30 Oct 2020 07:43
Last Modified:	30 Oct 2020 07:43
URI:	http://eprints.federalpolyilaro.edu.ng/id/eprint/1229

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