Linear Bayesian Estimation of Misrecorded Poisson Distribution
Parameter estimation is an important component of statistical inference, and how to improve the accuracy of parameter estimation is a key issue in research. This paper proposes a linear Bayesian estimation for estimating parameters in a misrecorded Poisson distribution. The linear Bayesian estimatio...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2024-01-01
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| Series: | Entropy |
| Subjects: | |
| Online Access: | https://www.mdpi.com/1099-4300/26/1/62 |
| _version_ | 1797344074570661888 |
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| author | Huiqing Gao Zhanshou Chen Fuxiao Li |
| author_facet | Huiqing Gao Zhanshou Chen Fuxiao Li |
| author_sort | Huiqing Gao |
| collection | DOAJ |
| description | Parameter estimation is an important component of statistical inference, and how to improve the accuracy of parameter estimation is a key issue in research. This paper proposes a linear Bayesian estimation for estimating parameters in a misrecorded Poisson distribution. The linear Bayesian estimation method not only adopts prior information but also avoids the cumbersome calculation of posterior expectations. On the premise of ensuring the accuracy and stability of computational results, we derived the explicit solution of the linear Bayesian estimation. Its superiority was verified through numerical simulations and illustrative examples. |
| first_indexed | 2024-03-08T10:57:05Z |
| format | Article |
| id | doaj.art-3b828cb03358429dbad2ad088cb721c1 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-08T10:57:05Z |
| publishDate | 2024-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-3b828cb03358429dbad2ad088cb721c12024-01-26T16:23:10ZengMDPI AGEntropy1099-43002024-01-012616210.3390/e26010062Linear Bayesian Estimation of Misrecorded Poisson DistributionHuiqing Gao0Zhanshou Chen1Fuxiao Li2School of Mathematics and Statistic, Qinghai Normal University, Xining 810008, ChinaSchool of Mathematics and Statistic, Qinghai Normal University, Xining 810008, ChinaFaculty of Science, Xi’an University of Technology, Xi’an 710048, ChinaParameter estimation is an important component of statistical inference, and how to improve the accuracy of parameter estimation is a key issue in research. This paper proposes a linear Bayesian estimation for estimating parameters in a misrecorded Poisson distribution. The linear Bayesian estimation method not only adopts prior information but also avoids the cumbersome calculation of posterior expectations. On the premise of ensuring the accuracy and stability of computational results, we derived the explicit solution of the linear Bayesian estimation. Its superiority was verified through numerical simulations and illustrative examples.https://www.mdpi.com/1099-4300/26/1/62misrecorded Poisson distributionlinear Bayesian estimationbootstrap |
| spellingShingle | Huiqing Gao Zhanshou Chen Fuxiao Li Linear Bayesian Estimation of Misrecorded Poisson Distribution Entropy misrecorded Poisson distribution linear Bayesian estimation bootstrap |
| title | Linear Bayesian Estimation of Misrecorded Poisson Distribution |
| title_full | Linear Bayesian Estimation of Misrecorded Poisson Distribution |
| title_fullStr | Linear Bayesian Estimation of Misrecorded Poisson Distribution |
| title_full_unstemmed | Linear Bayesian Estimation of Misrecorded Poisson Distribution |
| title_short | Linear Bayesian Estimation of Misrecorded Poisson Distribution |
| title_sort | linear bayesian estimation of misrecorded poisson distribution |
| topic | misrecorded Poisson distribution linear Bayesian estimation bootstrap |
| url | https://www.mdpi.com/1099-4300/26/1/62 |
| work_keys_str_mv | AT huiqinggao linearbayesianestimationofmisrecordedpoissondistribution AT zhanshouchen linearbayesianestimationofmisrecordedpoissondistribution AT fuxiaoli linearbayesianestimationofmisrecordedpoissondistribution |