Confidence Interval Estimation for the Common Mean of Several Zero-Inflated Gamma Distributions
In this study, we propose estimates for the confidence interval for the common mean of several zero-inflated gamma (ZIG) distributions based on the fiducial generalized confidence interval (GCI) and Bayesian and highest posterior density (HPD) methods based on the Jeffreys rule or uniform prior. The...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-12-01
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| Series: | Symmetry |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-8994/15/1/67 |
| _version_ | 1797436873549807616 |
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| author | Theerapong Kaewprasert Sa-Aat Niwitpong Suparat Niwitpong |
| author_facet | Theerapong Kaewprasert Sa-Aat Niwitpong Suparat Niwitpong |
| author_sort | Theerapong Kaewprasert |
| collection | DOAJ |
| description | In this study, we propose estimates for the confidence interval for the common mean of several zero-inflated gamma (ZIG) distributions based on the fiducial generalized confidence interval (GCI) and Bayesian and highest posterior density (HPD) methods based on the Jeffreys rule or uniform prior. Their performances in terms of their coverage probabilities and expected lengths are compared via a Monte Carlo simulation study. For almost all of the scenarios considered, the simulation results show that the fiducial GCI performed better than the Bayesian and HPD methods. Daily rainfall data from Chiang Mai Province, Thailand that contains several zero entries and follows a ZIG distribution is used to test the efficacies of the methods in real-world situations. |
| first_indexed | 2024-03-09T11:07:57Z |
| format | Article |
| id | doaj.art-40202f0432d54f0fb1e45efb2c1d63ea |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-09T11:07:57Z |
| publishDate | 2022-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-40202f0432d54f0fb1e45efb2c1d63ea2023-12-01T00:51:18ZengMDPI AGSymmetry2073-89942022-12-011516710.3390/sym15010067Confidence Interval Estimation for the Common Mean of Several Zero-Inflated Gamma DistributionsTheerapong Kaewprasert0Sa-Aat Niwitpong1Suparat Niwitpong2Department of Applied Statistics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, ThailandDepartment of Applied Statistics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, ThailandDepartment of Applied Statistics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, ThailandIn this study, we propose estimates for the confidence interval for the common mean of several zero-inflated gamma (ZIG) distributions based on the fiducial generalized confidence interval (GCI) and Bayesian and highest posterior density (HPD) methods based on the Jeffreys rule or uniform prior. Their performances in terms of their coverage probabilities and expected lengths are compared via a Monte Carlo simulation study. For almost all of the scenarios considered, the simulation results show that the fiducial GCI performed better than the Bayesian and HPD methods. Daily rainfall data from Chiang Mai Province, Thailand that contains several zero entries and follows a ZIG distribution is used to test the efficacies of the methods in real-world situations.https://www.mdpi.com/2073-8994/15/1/67zero-inflated gamma distributioncommon meanfiducial generalized confidence intervalBayesian method |
| spellingShingle | Theerapong Kaewprasert Sa-Aat Niwitpong Suparat Niwitpong Confidence Interval Estimation for the Common Mean of Several Zero-Inflated Gamma Distributions Symmetry zero-inflated gamma distribution common mean fiducial generalized confidence interval Bayesian method |
| title | Confidence Interval Estimation for the Common Mean of Several Zero-Inflated Gamma Distributions |
| title_full | Confidence Interval Estimation for the Common Mean of Several Zero-Inflated Gamma Distributions |
| title_fullStr | Confidence Interval Estimation for the Common Mean of Several Zero-Inflated Gamma Distributions |
| title_full_unstemmed | Confidence Interval Estimation for the Common Mean of Several Zero-Inflated Gamma Distributions |
| title_short | Confidence Interval Estimation for the Common Mean of Several Zero-Inflated Gamma Distributions |
| title_sort | confidence interval estimation for the common mean of several zero inflated gamma distributions |
| topic | zero-inflated gamma distribution common mean fiducial generalized confidence interval Bayesian method |
| url | https://www.mdpi.com/2073-8994/15/1/67 |
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