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Modified Shewhart Control Chart Based on CEV for Gamma Distributed Lifetimes in the Presence of Type-I Censored Data

Journal of Quantitative Methods

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Title Modified Shewhart Control Chart Based on CEV for Gamma Distributed Lifetimes in the Presence of Type-I Censored Data
 
Creator Raza, Syed Muhammad Muslim
Moeen, Muhammad
 
Description This article explains the modified version of Shewhart control charts for monitoring the mean level of the Gamma lifetimes under the Type-I censored data. Shewhart control chart based on the conditional expected values (CEV) is developed which can efficiently monitor the Type-I censored. The results of the proposed control chart are compared with simple/traditional Shewhart control chart using different censoring rates (Pc). The main focus is the stability of the mean level for which we have considered the specified parameter(s) as well as the unspecified parameter(s) cases (where Maximum Likelihood Estimates (MLE) has been considered). It is observed that in the presence of Type-I censored observation the CEV Shewhart  Control chart outperforms traditional Shewhart control chart. The proposed censoring control charts always outperform when known parameters are used rather than the MLE estimate cases. The proposed charting methodology is also illustrated by an example.
 
Publisher Department of Quantitative Methods, School of Business and Economics, University of Management and Technology, Lahore Pakistan
 
Date 2018-02-28
 
Type info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Peer-reviewed Article
 
Format application/pdf
 
Identifier https://ojs.umt.edu.pk/index.php/jqm/article/view/23
10.29145/2018/jqm/020105
 
Source Journal of Quantitative Methods; Vol 2 No 1 (2018): February; 114-125
2522-2260
2522-2252
10.29145/JQM/21
 
Language eng
 
Relation https://ojs.umt.edu.pk/index.php/jqm/article/view/23/19