Statistical inference with joint progressive censoring for two populations using power Rayleigh lifetime distribution
Abstract In this study, point and interval estimations for the power Rayleigh distribution are derived using the joint progressive type-II censoring technique. The maximum likelihood and Bayes methods are used to estimate the two distributional parameters. The estimators’ approximate credible interv...
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Format: | Article |
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Nature Portfolio
2023-03-01
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Series: | Scientific Reports |
Online Access: | https://doi.org/10.1038/s41598-023-30392-7 |
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author | Ahlam H. Tolba Tahani A. Abushal Dina A. Ramadan |
author_facet | Ahlam H. Tolba Tahani A. Abushal Dina A. Ramadan |
author_sort | Ahlam H. Tolba |
collection | DOAJ |
description | Abstract In this study, point and interval estimations for the power Rayleigh distribution are derived using the joint progressive type-II censoring technique. The maximum likelihood and Bayes methods are used to estimate the two distributional parameters. The estimators’ approximate credible intervals and confidence intervals have also been determined. The Markov chain Monte Carlo (MCMC) method is used to provide the findings of Bayes estimators for squared error loss and linear exponential loss functions. The Metropolis–Hasting technique uses Gibbs to generate MCMC samples from the posterior density functions. A real data set is used to show off the suggested approaches. Finally, in order to compare the results of various approaches, a simulation study is performed. |
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format | Article |
id | doaj.art-9968bbf5c4014fd6953bda9106a7b629 |
institution | Directory Open Access Journal |
issn | 2045-2322 |
language | English |
last_indexed | 2024-04-09T22:56:20Z |
publishDate | 2023-03-01 |
publisher | Nature Portfolio |
record_format | Article |
series | Scientific Reports |
spelling | doaj.art-9968bbf5c4014fd6953bda9106a7b6292023-03-22T11:14:59ZengNature PortfolioScientific Reports2045-23222023-03-0113111510.1038/s41598-023-30392-7Statistical inference with joint progressive censoring for two populations using power Rayleigh lifetime distributionAhlam H. Tolba0Tahani A. Abushal1Dina A. Ramadan2Department of Mathematics, Faculty of Science, Mansoura UniversityDepartment of Mathematical Science, Faculty of Applied Science, Umm AL-Qura UniversityDepartment of Mathematics, Faculty of Science, Mansoura UniversityAbstract In this study, point and interval estimations for the power Rayleigh distribution are derived using the joint progressive type-II censoring technique. The maximum likelihood and Bayes methods are used to estimate the two distributional parameters. The estimators’ approximate credible intervals and confidence intervals have also been determined. The Markov chain Monte Carlo (MCMC) method is used to provide the findings of Bayes estimators for squared error loss and linear exponential loss functions. The Metropolis–Hasting technique uses Gibbs to generate MCMC samples from the posterior density functions. A real data set is used to show off the suggested approaches. Finally, in order to compare the results of various approaches, a simulation study is performed.https://doi.org/10.1038/s41598-023-30392-7 |
spellingShingle | Ahlam H. Tolba Tahani A. Abushal Dina A. Ramadan Statistical inference with joint progressive censoring for two populations using power Rayleigh lifetime distribution Scientific Reports |
title | Statistical inference with joint progressive censoring for two populations using power Rayleigh lifetime distribution |
title_full | Statistical inference with joint progressive censoring for two populations using power Rayleigh lifetime distribution |
title_fullStr | Statistical inference with joint progressive censoring for two populations using power Rayleigh lifetime distribution |
title_full_unstemmed | Statistical inference with joint progressive censoring for two populations using power Rayleigh lifetime distribution |
title_short | Statistical inference with joint progressive censoring for two populations using power Rayleigh lifetime distribution |
title_sort | statistical inference with joint progressive censoring for two populations using power rayleigh lifetime distribution |
url | https://doi.org/10.1038/s41598-023-30392-7 |
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