A Study of Cumulative Quantity Control Chart for a Mixture of Rayleigh Model under a Bayesian Framework
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| Format: | Artículo científico |
| Sprache: | en |
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Universidad Nacional de Colombia
2016
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| _version_ | 1876432758472966144 |
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| author | Tabassum Naz Sindhu |
| author_facet | Tabassum Naz Sindhu |
| contents | A Study of Cumulative Quantity Control Chart for a Mixture of Rayleigh Model under a Bayesian Framework Tabassum Naz Sindhu Muhammad Riaz Muhammad Aslam Zaheer Ahmed Física, Astronomía y Matemáticas Char SRCQC MRCQC Chart Quality control Inverse transformation method This study deals with the cumulative charting technique based on a simple and a mixture of Rayleigh models. The respective charting schemes are referred as the SRCQC-chart and the MRCQC-chart. These are stimulated from existing statistical control charts in this direction i.e. the cumulative quantity control (CQC) chart, based on exponential and Weibull models, and the cumulative count control (CCC) chart, based on the simple geometric model. Another motivation for this study is the mixture cumulative count control (MCCC) chart based on the two component geometric model. The use of mixture cumulative quantity is an attractive approach for process monitoring. The design structure of the proposed control chart is derived by using the cumulative distribution function of simple, and two components of mixture distribution(s). We observed that the proposed charting structure is efficient in detecting the changes in process parameters. The application of the proposed scheme is illustrated using a real dataset. 2016 artículo científico 0120-1751 https://www.redalyc.org/articulo.oa?id=89946455004 en http://www.redalyc.org/revista.oa?id=899 Revista Colombiana de Estadística application/pdf Universidad Nacional de Colombia Revista Colombiana de Estadística (Colombia) Num.2 Vol.39 |
| format | Artículo científico |
| id | redalyc_89946455004 |
| institution | Redalyc |
| language | en |
| publishDate | 2016 |
| publisher | Universidad Nacional de Colombia |
| spellingShingle | A Study of Cumulative Quantity Control Chart for a Mixture of Rayleigh Model under a Bayesian Framework Tabassum Naz Sindhu Física, Astronomía y Matemáticas Char SRCQC MRCQC Chart Quality control Inverse transformation method A Study of Cumulative Quantity Control Chart for a Mixture of Rayleigh Model under a Bayesian Framework Tabassum Naz Sindhu Muhammad Riaz Muhammad Aslam Zaheer Ahmed Física, Astronomía y Matemáticas Char SRCQC MRCQC Chart Quality control Inverse transformation method This study deals with the cumulative charting technique based on a simple and a mixture of Rayleigh models. The respective charting schemes are referred as the SRCQC-chart and the MRCQC-chart. These are stimulated from existing statistical control charts in this direction i.e. the cumulative quantity control (CQC) chart, based on exponential and Weibull models, and the cumulative count control (CCC) chart, based on the simple geometric model. Another motivation for this study is the mixture cumulative count control (MCCC) chart based on the two component geometric model. The use of mixture cumulative quantity is an attractive approach for process monitoring. The design structure of the proposed control chart is derived by using the cumulative distribution function of simple, and two components of mixture distribution(s). We observed that the proposed charting structure is efficient in detecting the changes in process parameters. The application of the proposed scheme is illustrated using a real dataset. 2016 artículo científico 0120-1751 https://www.redalyc.org/articulo.oa?id=89946455004 en http://www.redalyc.org/revista.oa?id=899 Revista Colombiana de Estadística application/pdf Universidad Nacional de Colombia Revista Colombiana de Estadística (Colombia) Num.2 Vol.39 |
| title | A Study of Cumulative Quantity Control Chart for a Mixture of Rayleigh Model under a Bayesian Framework |
| topic | Física, Astronomía y Matemáticas Char SRCQC MRCQC Chart Quality control Inverse transformation method |
| url | https://www.redalyc.org/articulo.oa?id=89946455004 |