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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...

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Autores principales: La-ongkaew, Manussaya, Niwitpong, Sa-Aat, Niwitpong, Suparat
Formato: Online Artículo Texto
Lenguaje:English
Publicado: PeerJ Inc. 2021
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.
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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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