On Performance of Two-Parameter Gompertz-Based X¯ Control Charts
Joint Authors
Adekeye, K. S.
Adewara, Johnson A.
Aako, Olubisi L.
Source
Journal of Probability and Statistics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-02-25
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
In this paper, two methods of control chart were proposed to monitor the process based on the two-parameter Gompertz distribution.
The proposed methods are the Gompertz Shewhart approach and Gompertz skewness correction method.
A simulation study was conducted to compare the performance of the proposed chart with that of the skewness correction approach for various sample sizes.
Furthermore, real-life data on thickness of paint on refrigerators which are nonnormal data that have attributes of a Gompertz distribution were used to illustrate the proposed control chart.
The coverage probability (CP), control limit interval (CLI), and average run length (ARL) were used to measure the performance of the two methods.
It was found that the Gompertz exact method where the control limits are calculated through the percentiles of the underline distribution has the highest coverage probability, while the Gompertz Shewhart approach and Gompertz skewness correction method have the least CLI and ARL.
Hence, the two-parameter Gompertz-based methods would detect out-of-control faster for Gompertz-based X¯ charts.
American Psychological Association (APA)
Adewara, Johnson A.& Adekeye, K. S.& Aako, Olubisi L.. 2020. On Performance of Two-Parameter Gompertz-Based X¯ Control Charts. Journal of Probability and Statistics،Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1190188
Modern Language Association (MLA)
Adewara, Johnson A.…[et al.]. On Performance of Two-Parameter Gompertz-Based X¯ Control Charts. Journal of Probability and Statistics No. 2020 (2020), pp.1-9.
https://search.emarefa.net/detail/BIM-1190188
American Medical Association (AMA)
Adewara, Johnson A.& Adekeye, K. S.& Aako, Olubisi L.. On Performance of Two-Parameter Gompertz-Based X¯ Control Charts. Journal of Probability and Statistics. 2020. Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1190188
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1190188