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Confidence intervals for the difference between the coefficients of variation of Weibull distributions for analyzing wind speed dispersion
Wind energy is an important renewable energy source for generating electricity that has the potential to replace fossil fuels. Herein, we propose confidence intervals for the difference between the coefficients of variation of Weibull distributions constructed using the concepts of the generalized c...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
PeerJ Inc.
2021
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8256813/ https://www.ncbi.nlm.nih.gov/pubmed/34249509 http://dx.doi.org/10.7717/peerj.11676 |
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author | La-ongkaew, Manussaya Niwitpong, Sa-Aat Niwitpong, Suparat |
author_facet | La-ongkaew, Manussaya Niwitpong, Sa-Aat Niwitpong, Suparat |
author_sort | La-ongkaew, Manussaya |
collection | PubMed |
description | Wind energy is an important renewable energy source for generating electricity that has the potential to replace fossil fuels. Herein, we propose confidence intervals for the difference between the coefficients of variation of Weibull distributions constructed using the concepts of the generalized confidence interval (GCI), Bayesian methods, the method of variance estimates recovery (MOVER) based on Hendricks and Robey’s confidence interval, a percentile bootstrap method, and a bootstrap method with standard errors. To analyze their performances, their coverage probabilities and expected lengths were evaluated via Monte Carlo simulation. The simulation results indicate that the coverage probabilities of GCI were greater than or sometimes close to the nominal confidence level. However, when the Weibull shape parameter was small, the Bayesian- highest posterior density interval was preferable. All of the proposed confidence intervals were applied to wind speed data measured at 90-meter wind energy potential stations at various regions in Thailand. |
format | Online Article Text |
id | pubmed-8256813 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2021 |
publisher | PeerJ Inc. |
record_format | MEDLINE/PubMed |
spelling | pubmed-82568132021-07-09 Confidence intervals for the difference between the coefficients of variation of Weibull distributions for analyzing wind speed dispersion La-ongkaew, Manussaya Niwitpong, Sa-Aat Niwitpong, Suparat PeerJ Statistics Wind energy is an important renewable energy source for generating electricity that has the potential to replace fossil fuels. Herein, we propose confidence intervals for the difference between the coefficients of variation of Weibull distributions constructed using the concepts of the generalized confidence interval (GCI), Bayesian methods, the method of variance estimates recovery (MOVER) based on Hendricks and Robey’s confidence interval, a percentile bootstrap method, and a bootstrap method with standard errors. To analyze their performances, their coverage probabilities and expected lengths were evaluated via Monte Carlo simulation. The simulation results indicate that the coverage probabilities of GCI were greater than or sometimes close to the nominal confidence level. However, when the Weibull shape parameter was small, the Bayesian- highest posterior density interval was preferable. All of the proposed confidence intervals were applied to wind speed data measured at 90-meter wind energy potential stations at various regions in Thailand. PeerJ Inc. 2021-07-02 /pmc/articles/PMC8256813/ /pubmed/34249509 http://dx.doi.org/10.7717/peerj.11676 Text en ©2021 La-ongkaew et al. https://creativecommons.org/licenses/by/4.0/This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0/) , which permits unrestricted use, distribution, reproduction and adaptation in any medium and for any purpose provided that it is properly attributed. For attribution, the original author(s), title, publication source (PeerJ) and either DOI or URL of the article must be cited. |
spellingShingle | Statistics La-ongkaew, Manussaya Niwitpong, Sa-Aat Niwitpong, Suparat Confidence intervals for the difference between the coefficients of variation of Weibull distributions for analyzing wind speed dispersion |
title | Confidence intervals for the difference between the coefficients of variation of Weibull distributions for analyzing wind speed dispersion |
title_full | Confidence intervals for the difference between the coefficients of variation of Weibull distributions for analyzing wind speed dispersion |
title_fullStr | Confidence intervals for the difference between the coefficients of variation of Weibull distributions for analyzing wind speed dispersion |
title_full_unstemmed | Confidence intervals for the difference between the coefficients of variation of Weibull distributions for analyzing wind speed dispersion |
title_short | Confidence intervals for the difference between the coefficients of variation of Weibull distributions for analyzing wind speed dispersion |
title_sort | confidence intervals for the difference between the coefficients of variation of weibull distributions for analyzing wind speed dispersion |
topic | Statistics |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8256813/ https://www.ncbi.nlm.nih.gov/pubmed/34249509 http://dx.doi.org/10.7717/peerj.11676 |
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