Reliability Analysis and Optimality for a New Extended Topp‐Leone Distribution Based on Progressive Censoring With Binomial Removal
ABSTRACT In this article, a progressive Type II censoring plan with binomial removal is utilized to overcome the estimation issues associated with the truncated Cauchy power‐inverted Topp‐Leone distribution (TCPITLD). Using maximum likelihood and Bayesian estimation approaches is a means of estimati...
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| Format: | Article |
| Language: | English |
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Wiley
2025-06-01
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| Series: | Engineering Reports |
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| Online Access: | https://doi.org/10.1002/eng2.70239 |
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| author | Mohammed Elgarhy Gaber Sallam Salem Abdalla Ehab M. Almetwally Mustapha Jobarteh Amaal Elsayed Mubarak |
| author_facet | Mohammed Elgarhy Gaber Sallam Salem Abdalla Ehab M. Almetwally Mustapha Jobarteh Amaal Elsayed Mubarak |
| author_sort | Mohammed Elgarhy |
| collection | DOAJ |
| description | ABSTRACT In this article, a progressive Type II censoring plan with binomial removal is utilized to overcome the estimation issues associated with the truncated Cauchy power‐inverted Topp‐Leone distribution (TCPITLD). Using maximum likelihood and Bayesian estimation approaches is a means of estimating the unknown parameter. Bayesian estimators are studied using the likelihood function when observed data are produced. This is done by employing the assumption of an informative prior, a gamma prior, and a symmetric loss function. Both of these assumptions are made. In addition, the discussion also includes the approximate confidence intervals obtained by using both the classical technique and the credible intervals with the most significant posterior density. A detailed simulation experiment that considers a variety of sample sizes and censoring techniques is carried out to evaluate the various estimation procedures. A single actual dataset is investigated to validate the effectiveness of the TCPITLD and the estimators provided during the process. The findings indicate that the Bayesian strategy that uses the gamma prior is preferable to both the maximum likelihood technique and the Bayesian approach that uses the informative prior to acquiring the required estimators. |
| format | Article |
| id | doaj-art-2e9c84871f9145989170840b055b40e6 |
| institution | OA Journals |
| issn | 2577-8196 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | Wiley |
| record_format | Article |
| series | Engineering Reports |
| spelling | doaj-art-2e9c84871f9145989170840b055b40e62025-08-20T02:22:14ZengWileyEngineering Reports2577-81962025-06-0176n/an/a10.1002/eng2.70239Reliability Analysis and Optimality for a New Extended Topp‐Leone Distribution Based on Progressive Censoring With Binomial RemovalMohammed Elgarhy0Gaber Sallam Salem Abdalla1Ehab M. Almetwally2Mustapha Jobarteh3Amaal Elsayed Mubarak4Department of Basic Sciences Higher Institute of Administrative Sciences Belbeis EgyptDepartment of Insurance and Risk Management Faculty of Business, Imam Mohammad Ibn Saud Islamic University (IMSIU) Riyadh Saudi ArabiaDepartment of Mathematics and Statistics Faculty of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU) Riyadh Saudi ArabiaDepartment of Economics School of Business and Public Administration, University of The Gambia Kanifing GambiaFaculty of Commerce Damietta University Dumyat al Jadidah EgyptABSTRACT In this article, a progressive Type II censoring plan with binomial removal is utilized to overcome the estimation issues associated with the truncated Cauchy power‐inverted Topp‐Leone distribution (TCPITLD). Using maximum likelihood and Bayesian estimation approaches is a means of estimating the unknown parameter. Bayesian estimators are studied using the likelihood function when observed data are produced. This is done by employing the assumption of an informative prior, a gamma prior, and a symmetric loss function. Both of these assumptions are made. In addition, the discussion also includes the approximate confidence intervals obtained by using both the classical technique and the credible intervals with the most significant posterior density. A detailed simulation experiment that considers a variety of sample sizes and censoring techniques is carried out to evaluate the various estimation procedures. A single actual dataset is investigated to validate the effectiveness of the TCPITLD and the estimators provided during the process. The findings indicate that the Bayesian strategy that uses the gamma prior is preferable to both the maximum likelihood technique and the Bayesian approach that uses the informative prior to acquiring the required estimators.https://doi.org/10.1002/eng2.70239BayesianMarkov chain Monte Carlooptimal testing planprogressive Type‐II censoredtruncated Cauchy power‐inverted Topp‐Leone distribution |
| spellingShingle | Mohammed Elgarhy Gaber Sallam Salem Abdalla Ehab M. Almetwally Mustapha Jobarteh Amaal Elsayed Mubarak Reliability Analysis and Optimality for a New Extended Topp‐Leone Distribution Based on Progressive Censoring With Binomial Removal Engineering Reports Bayesian Markov chain Monte Carlo optimal testing plan progressive Type‐II censored truncated Cauchy power‐inverted Topp‐Leone distribution |
| title | Reliability Analysis and Optimality for a New Extended Topp‐Leone Distribution Based on Progressive Censoring With Binomial Removal |
| title_full | Reliability Analysis and Optimality for a New Extended Topp‐Leone Distribution Based on Progressive Censoring With Binomial Removal |
| title_fullStr | Reliability Analysis and Optimality for a New Extended Topp‐Leone Distribution Based on Progressive Censoring With Binomial Removal |
| title_full_unstemmed | Reliability Analysis and Optimality for a New Extended Topp‐Leone Distribution Based on Progressive Censoring With Binomial Removal |
| title_short | Reliability Analysis and Optimality for a New Extended Topp‐Leone Distribution Based on Progressive Censoring With Binomial Removal |
| title_sort | reliability analysis and optimality for a new extended topp leone distribution based on progressive censoring with binomial removal |
| topic | Bayesian Markov chain Monte Carlo optimal testing plan progressive Type‐II censored truncated Cauchy power‐inverted Topp‐Leone distribution |
| url | https://doi.org/10.1002/eng2.70239 |
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