Performance of a Robust Confidence Interval for the Process Capability Index Cp based on the Modified Trimmed Standard Deviation Under Non-Normal Distributions
Author:
Abu-Shawiesh Moustafa1, Srinivasan Mr2, Sindhumol Mr2, Kibria Golam3
Affiliation:
1. Department of Mathematics, Faculty of Science, Hashemite University, Al-Zarqa, JORDAN 2. Department of Statistics, MSCS School, University of Madras, Chennai, INDIA 3. Department of Mathematics and Statistics, Florida International University, Miami, Florida, USA
Abstract
In this paper, a robust interval estimator for the classical process capability index (Cp) based on the modified trimmed standard deviation (MTSD = ST ∗ ) is considered under both normal and non-normal distributions. The performance of the newly proposed process capability index interval estimator over the existing method is compared using a simulation study. As a performance criterion, we consider both simulated coverage probability and average width. Simulation results evident that the proposed confidence interval based on the robust estimator performed well for most of cases. For illustration purposes, two real-life data from industry are analyzed which supported our simulation results to some extent. As a result, the proposed method can be recommend to be used by the practitioners in various fields of industry, engineering and physical sciences.
Publisher
World Scientific and Engineering Academy and Society (WSEAS)
Subject
General Mathematics
Reference9 articles.
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