Bayesian Estimation of the Exponentiated Gamma Parameter and Reliability Function under Asymmetric Loss Function
In this paper, we propose Bayes estimators of the parameter of the exponentiated gamma distribution and associated reliability function under General Entropy loss function for a censored sample. The proposed estimators have been compared with the corresponding Bayes estimators obtained under square...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Instituto Nacional de Estatística | Statistics Portugal
2011-12-01
|
| Series: | Revstat Statistical Journal |
| Subjects: | |
| Online Access: | https://revstat.ine.pt/index.php/REVSTAT/article/view/107 |
| _version_ | 1818513281336213504 |
|---|---|
| author | Sanjay Kumar Singh Umesh Singh Dinesh Kumar |
| author_facet | Sanjay Kumar Singh Umesh Singh Dinesh Kumar |
| author_sort | Sanjay Kumar Singh |
| collection | DOAJ |
| description |
In this paper, we propose Bayes estimators of the parameter of the exponentiated gamma distribution and associated reliability function under General Entropy loss function for a censored sample. The proposed estimators have been compared with the corresponding Bayes estimators obtained under squared error loss function and maximum likelihood estimators through their simulated risks (average loss over sample space).
|
| first_indexed | 2024-12-10T23:59:01Z |
| format | Article |
| id | doaj.art-6f6029fd35ca4a1a9a551de1f33e62d2 |
| institution | Directory Open Access Journal |
| issn | 1645-6726 2183-0371 |
| language | English |
| last_indexed | 2024-12-10T23:59:01Z |
| publishDate | 2011-12-01 |
| publisher | Instituto Nacional de Estatística | Statistics Portugal |
| record_format | Article |
| series | Revstat Statistical Journal |
| spelling | doaj.art-6f6029fd35ca4a1a9a551de1f33e62d22022-12-22T01:28:31ZengInstituto Nacional de Estatística | Statistics PortugalRevstat Statistical Journal1645-67262183-03712011-12-019310.57805/revstat.v9i3.107Bayesian Estimation of the Exponentiated Gamma Parameter and Reliability Function under Asymmetric Loss FunctionSanjay Kumar Singh 0Umesh Singh 1Dinesh Kumar 2Banaras Hindu UniversityBanaras Hindu UniversityBanaras Hindu University In this paper, we propose Bayes estimators of the parameter of the exponentiated gamma distribution and associated reliability function under General Entropy loss function for a censored sample. The proposed estimators have been compared with the corresponding Bayes estimators obtained under squared error loss function and maximum likelihood estimators through their simulated risks (average loss over sample space). https://revstat.ine.pt/index.php/REVSTAT/article/view/107exponentiated gamma distributionGeneral Entropy loss functioncensored samplesBayes estimatorssimulated risks |
| spellingShingle | Sanjay Kumar Singh Umesh Singh Dinesh Kumar Bayesian Estimation of the Exponentiated Gamma Parameter and Reliability Function under Asymmetric Loss Function Revstat Statistical Journal exponentiated gamma distribution General Entropy loss function censored samples Bayes estimators simulated risks |
| title | Bayesian Estimation of the Exponentiated Gamma Parameter and Reliability Function under Asymmetric Loss Function |
| title_full | Bayesian Estimation of the Exponentiated Gamma Parameter and Reliability Function under Asymmetric Loss Function |
| title_fullStr | Bayesian Estimation of the Exponentiated Gamma Parameter and Reliability Function under Asymmetric Loss Function |
| title_full_unstemmed | Bayesian Estimation of the Exponentiated Gamma Parameter and Reliability Function under Asymmetric Loss Function |
| title_short | Bayesian Estimation of the Exponentiated Gamma Parameter and Reliability Function under Asymmetric Loss Function |
| title_sort | bayesian estimation of the exponentiated gamma parameter and reliability function under asymmetric loss function |
| topic | exponentiated gamma distribution General Entropy loss function censored samples Bayes estimators simulated risks |
| url | https://revstat.ine.pt/index.php/REVSTAT/article/view/107 |
| work_keys_str_mv | AT sanjaykumarsingh bayesianestimationoftheexponentiatedgammaparameterandreliabilityfunctionunderasymmetriclossfunction AT umeshsingh bayesianestimationoftheexponentiatedgammaparameterandreliabilityfunctionunderasymmetriclossfunction AT dineshkumar bayesianestimationoftheexponentiatedgammaparameterandreliabilityfunctionunderasymmetriclossfunction |