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...

Full description

Bibliographic Details
Main Authors: Ahlam H. Tolba, Tahani A. Abushal, Dina A. Ramadan
Format: Article
Language:English
Published: Nature Portfolio 2023-03-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-023-30392-7
_version_ 1797864707334340608
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.
first_indexed 2024-04-09T22:56:20Z
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
work_keys_str_mv AT ahlamhtolba statisticalinferencewithjointprogressivecensoringfortwopopulationsusingpowerrayleighlifetimedistribution
AT tahaniaabushal statisticalinferencewithjointprogressivecensoringfortwopopulationsusingpowerrayleighlifetimedistribution
AT dinaaramadan statisticalinferencewithjointprogressivecensoringfortwopopulationsusingpowerrayleighlifetimedistribution