Generalized Performance Measures of X- Control Charts Based on Different Sampling Schemes
Different versions of X- control chart structure are available under various ranked set strategies. In these control charts, computation of performance measures was carried out through Monte Carlo simulation method (MCSM). In this article, we have defined a generalized structure of X- control charts...
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Series: | Journal of Probability and Statistics |
Online Access: | http://dx.doi.org/10.1155/2019/5269357 |
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doaj-926b0b1771a8470e8a6333f7ec6f3a3f2020-11-25T01:51:16ZengHindawi LimitedJournal of Probability and Statistics1687-952X1687-95382019-01-01201910.1155/2019/52693575269357Generalized Performance Measures of X- Control Charts Based on Different Sampling SchemesRashid Mehmood0Muhammed Hisyam Lee1Muhammad Riaz2Iftikhar Ali3Department of Mathematical Sciences, Universiti Teknologi Malaysia, MalaysiaDepartment of Mathematical Sciences, Universiti Teknologi Malaysia, MalaysiaDepartment of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi ArabiaDepartment of Mathematics, University of Hafr Al Batin, Hafr Al Batin, Saudi ArabiaDifferent versions of X- control chart structure are available under various ranked set strategies. In these control charts, computation of performance measures was carried out through Monte Carlo simulation method (MCSM). In this article, we have defined a generalized structure of X- control charts under variant sampling strategies followed by derivation of their different performance measures. For the derivation of different performance measures, we have proposed pivotal quantity. For comparative analysis, we have presented results of generalized performance measures by involving numerical method (NM) as computation. We found that values of generalized performance measures based on NM are almost similar to values of performance measures based on MCSM. Also, NM is time efficient and can be considered as an alternative of MCSM.http://dx.doi.org/10.1155/2019/5269357 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Rashid Mehmood Muhammed Hisyam Lee Muhammad Riaz Iftikhar Ali |
spellingShingle |
Rashid Mehmood Muhammed Hisyam Lee Muhammad Riaz Iftikhar Ali Generalized Performance Measures of X- Control Charts Based on Different Sampling Schemes Journal of Probability and Statistics |
author_facet |
Rashid Mehmood Muhammed Hisyam Lee Muhammad Riaz Iftikhar Ali |
author_sort |
Rashid Mehmood |
title |
Generalized Performance Measures of X- Control Charts Based on Different Sampling Schemes |
title_short |
Generalized Performance Measures of X- Control Charts Based on Different Sampling Schemes |
title_full |
Generalized Performance Measures of X- Control Charts Based on Different Sampling Schemes |
title_fullStr |
Generalized Performance Measures of X- Control Charts Based on Different Sampling Schemes |
title_full_unstemmed |
Generalized Performance Measures of X- Control Charts Based on Different Sampling Schemes |
title_sort |
generalized performance measures of x- control charts based on different sampling schemes |
publisher |
Hindawi Limited |
series |
Journal of Probability and Statistics |
issn |
1687-952X 1687-9538 |
publishDate |
2019-01-01 |
description |
Different versions of X- control chart structure are available under various ranked set strategies. In these control charts, computation of performance measures was carried out through Monte Carlo simulation method (MCSM). In this article, we have defined a generalized structure of X- control charts under variant sampling strategies followed by derivation of their different performance measures. For the derivation of different performance measures, we have proposed pivotal quantity. For comparative analysis, we have presented results of generalized performance measures by involving numerical method (NM) as computation. We found that values of generalized performance measures based on NM are almost similar to values of performance measures based on MCSM. Also, NM is time efficient and can be considered as an alternative of MCSM. |
url |
http://dx.doi.org/10.1155/2019/5269357 |
work_keys_str_mv |
AT rashidmehmood generalizedperformancemeasuresofxcontrolchartsbasedondifferentsamplingschemes AT muhammedhisyamlee generalizedperformancemeasuresofxcontrolchartsbasedondifferentsamplingschemes AT muhammadriaz generalizedperformancemeasuresofxcontrolchartsbasedondifferentsamplingschemes AT iftikharali generalizedperformancemeasuresofxcontrolchartsbasedondifferentsamplingschemes |
_version_ |
1724997521979211776 |