Inference of Process Capability Index Cpy for 3-Burr-XII Distribution Based on Progressive Type-II Censoring
In this paper, we discussed the estimation of the index Cpy for a 3-Burr-XII distribution based on Progressive Type-II censoring. The maximum likelihood and Bayes method have been used to obtain the estimating of the index Cpy. The Fisher information matrix has been used to construct approximate con...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2020/2412857 |
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| author | Rashad M. EL-Sagheer Mustafa M. Hasaballah |
| author_facet | Rashad M. EL-Sagheer Mustafa M. Hasaballah |
| author_sort | Rashad M. EL-Sagheer |
| collection | DOAJ |
| description | In this paper, we discussed the estimation of the index Cpy for a 3-Burr-XII distribution based on Progressive Type-II censoring. The maximum likelihood and Bayes method have been used to obtain the estimating of the index Cpy. The Fisher information matrix has been used to construct approximate confidence intervals. Also, bootstrap confidence intervals (CIs) of the estimators have been obtained. The Bayesian estimates for the index Cpy have been obtained by the Markov Chain Monte Carlo method. Also, the credible intervals are constructed by using MCMC samples. Two real-datasets have been discussed using the proposed index. |
| format | Article |
| id | doaj-art-e80147d006dd49fbb41092a24702c746 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-e80147d006dd49fbb41092a24702c7462025-02-03T01:25:45ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252020-01-01202010.1155/2020/24128572412857Inference of Process Capability Index Cpy for 3-Burr-XII Distribution Based on Progressive Type-II CensoringRashad M. EL-Sagheer0Mustafa M. Hasaballah1Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City, Cairo 11884, EgyptMathematics Department, Faculty of Science, Al-Azhar University, Nasr City, Cairo 11884, EgyptIn this paper, we discussed the estimation of the index Cpy for a 3-Burr-XII distribution based on Progressive Type-II censoring. The maximum likelihood and Bayes method have been used to obtain the estimating of the index Cpy. The Fisher information matrix has been used to construct approximate confidence intervals. Also, bootstrap confidence intervals (CIs) of the estimators have been obtained. The Bayesian estimates for the index Cpy have been obtained by the Markov Chain Monte Carlo method. Also, the credible intervals are constructed by using MCMC samples. Two real-datasets have been discussed using the proposed index.http://dx.doi.org/10.1155/2020/2412857 |
| spellingShingle | Rashad M. EL-Sagheer Mustafa M. Hasaballah Inference of Process Capability Index Cpy for 3-Burr-XII Distribution Based on Progressive Type-II Censoring International Journal of Mathematics and Mathematical Sciences |
| title | Inference of Process Capability Index Cpy for 3-Burr-XII Distribution Based on Progressive Type-II Censoring |
| title_full | Inference of Process Capability Index Cpy for 3-Burr-XII Distribution Based on Progressive Type-II Censoring |
| title_fullStr | Inference of Process Capability Index Cpy for 3-Burr-XII Distribution Based on Progressive Type-II Censoring |
| title_full_unstemmed | Inference of Process Capability Index Cpy for 3-Burr-XII Distribution Based on Progressive Type-II Censoring |
| title_short | Inference of Process Capability Index Cpy for 3-Burr-XII Distribution Based on Progressive Type-II Censoring |
| title_sort | inference of process capability index cpy for 3 burr xii distribution based on progressive type ii censoring |
| url | http://dx.doi.org/10.1155/2020/2412857 |
| work_keys_str_mv | AT rashadmelsagheer inferenceofprocesscapabilityindexcpyfor3burrxiidistributionbasedonprogressivetypeiicensoring AT mustafamhasaballah inferenceofprocesscapabilityindexcpyfor3burrxiidistributionbasedonprogressivetypeiicensoring |