Reliability estimation of Weibull Lomax distribution via Bayesian approach
Weibull Lomax distribution is considered. Bayesian method of estimation is employed in order to estimate the reliability function of Weibull Pareto distribution by using non-informative and beta priors. In this paper, the Bayes estimators of the reliability function have been obtained under squared...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Publishing House of the Romanian Academy
2023-11-01
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| Series: | Memoirs of the Scientific Sections of the Romanian Academy |
| Subjects: | |
| Online Access: | http://mss.academiaromana-is.ro/mem_sc_st_2023/13_AKRao_final.pdf |
| _version_ | 1827578343914995712 |
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| author | Arun Kumar Rao Himashu Pandey |
| author_facet | Arun Kumar Rao Himashu Pandey |
| author_sort | Arun Kumar Rao |
| collection | DOAJ |
| description | Weibull Lomax distribution is considered. Bayesian method of estimation is employed in order to estimate the reliability function of Weibull Pareto distribution by using non-informative and beta priors. In this paper, the Bayes estimators of the reliability function have been obtained under squared error, precautionary and entropy loss functions. |
| first_indexed | 2024-03-08T21:44:26Z |
| format | Article |
| id | doaj.art-cf2c4d7b448f4e4e9fde5da16f143466 |
| institution | Directory Open Access Journal |
| issn | 1224-1407 2343-7049 |
| language | English |
| last_indexed | 2024-03-08T21:44:26Z |
| publishDate | 2023-11-01 |
| publisher | Publishing House of the Romanian Academy |
| record_format | Article |
| series | Memoirs of the Scientific Sections of the Romanian Academy |
| spelling | doaj.art-cf2c4d7b448f4e4e9fde5da16f1434662023-12-20T10:44:31ZengPublishing House of the Romanian AcademyMemoirs of the Scientific Sections of the Romanian Academy1224-14072343-70492023-11-01XLVI215228Reliability estimation of Weibull Lomax distribution via Bayesian approachArun Kumar Rao0Himashu Pandey1Department of Statistics, MPPG College, Jungle Dhusan, Gorakhpur, IndiaDepartment of Mathematics & Statistics, DDU Gorakhpur University, Gorakhpur, IndiaWeibull Lomax distribution is considered. Bayesian method of estimation is employed in order to estimate the reliability function of Weibull Pareto distribution by using non-informative and beta priors. In this paper, the Bayes estimators of the reliability function have been obtained under squared error, precautionary and entropy loss functions.http://mss.academiaromana-is.ro/mem_sc_st_2023/13_AKRao_final.pdfweibull lomax distributionreliabilitybayesian methodnoninformative and beta priorssquared errorprecautionary and entropy loss functions |
| spellingShingle | Arun Kumar Rao Himashu Pandey Reliability estimation of Weibull Lomax distribution via Bayesian approach Memoirs of the Scientific Sections of the Romanian Academy weibull lomax distribution reliability bayesian method noninformative and beta priors squared error precautionary and entropy loss functions |
| title | Reliability estimation of Weibull Lomax distribution via Bayesian approach |
| title_full | Reliability estimation of Weibull Lomax distribution via Bayesian approach |
| title_fullStr | Reliability estimation of Weibull Lomax distribution via Bayesian approach |
| title_full_unstemmed | Reliability estimation of Weibull Lomax distribution via Bayesian approach |
| title_short | Reliability estimation of Weibull Lomax distribution via Bayesian approach |
| title_sort | reliability estimation of weibull lomax distribution via bayesian approach |
| topic | weibull lomax distribution reliability bayesian method noninformative and beta priors squared error precautionary and entropy loss functions |
| url | http://mss.academiaromana-is.ro/mem_sc_st_2023/13_AKRao_final.pdf |
| work_keys_str_mv | AT arunkumarrao reliabilityestimationofweibulllomaxdistributionviabayesianapproach AT himashupandey reliabilityestimationofweibulllomaxdistributionviabayesianapproach |