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Simultaneous confidence intervals for all pairwise differences between the coefficients of variation of rainfall series in Thailand

The delta-lognormal distribution is a combination of binomial and lognormal distributions, and so rainfall series that include zero and positive values conform to this distribution. The coefficient of variation is a good tool for measuring the dispersion of rainfall. Statistical estimation can be us...

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Autores principales: Yosboonruang, Noppadon, 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/PMC8234927/
https://www.ncbi.nlm.nih.gov/pubmed/34221731
http://dx.doi.org/10.7717/peerj.11651
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author Yosboonruang, Noppadon
Niwitpong, Sa-Aat
Niwitpong, Suparat
author_facet Yosboonruang, Noppadon
Niwitpong, Sa-Aat
Niwitpong, Suparat
author_sort Yosboonruang, Noppadon
collection PubMed
description The delta-lognormal distribution is a combination of binomial and lognormal distributions, and so rainfall series that include zero and positive values conform to this distribution. The coefficient of variation is a good tool for measuring the dispersion of rainfall. Statistical estimation can be used not only to illustrate the dispersion of rainfall but also to describe the differences between rainfall dispersions from several areas simultaneously. Therefore, the purpose of this study is to construct simultaneous confidence intervals for all pairwise differences between the coefficients of variation of delta-lognormal distributions using three methods: fiducial generalized confidence interval, Bayesian, and the method of variance estimates recovery. Their performances were gauged by measuring their coverage probabilities together with their expected lengths via Monte Carlo simulation. The results indicate that the Bayesian credible interval using the Jeffreys’ rule prior outperformed the others in virtually all cases. Rainfall series from five regions in Thailand were used to demonstrate the efficacies of the proposed methods.
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spelling pubmed-82349272021-07-02 Simultaneous confidence intervals for all pairwise differences between the coefficients of variation of rainfall series in Thailand Yosboonruang, Noppadon Niwitpong, Sa-Aat Niwitpong, Suparat PeerJ Statistics The delta-lognormal distribution is a combination of binomial and lognormal distributions, and so rainfall series that include zero and positive values conform to this distribution. The coefficient of variation is a good tool for measuring the dispersion of rainfall. Statistical estimation can be used not only to illustrate the dispersion of rainfall but also to describe the differences between rainfall dispersions from several areas simultaneously. Therefore, the purpose of this study is to construct simultaneous confidence intervals for all pairwise differences between the coefficients of variation of delta-lognormal distributions using three methods: fiducial generalized confidence interval, Bayesian, and the method of variance estimates recovery. Their performances were gauged by measuring their coverage probabilities together with their expected lengths via Monte Carlo simulation. The results indicate that the Bayesian credible interval using the Jeffreys’ rule prior outperformed the others in virtually all cases. Rainfall series from five regions in Thailand were used to demonstrate the efficacies of the proposed methods. PeerJ Inc. 2021-06-23 /pmc/articles/PMC8234927/ /pubmed/34221731 http://dx.doi.org/10.7717/peerj.11651 Text en ©2021 Yosboonruang 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
Yosboonruang, Noppadon
Niwitpong, Sa-Aat
Niwitpong, Suparat
Simultaneous confidence intervals for all pairwise differences between the coefficients of variation of rainfall series in Thailand
title Simultaneous confidence intervals for all pairwise differences between the coefficients of variation of rainfall series in Thailand
title_full Simultaneous confidence intervals for all pairwise differences between the coefficients of variation of rainfall series in Thailand
title_fullStr Simultaneous confidence intervals for all pairwise differences between the coefficients of variation of rainfall series in Thailand
title_full_unstemmed Simultaneous confidence intervals for all pairwise differences between the coefficients of variation of rainfall series in Thailand
title_short Simultaneous confidence intervals for all pairwise differences between the coefficients of variation of rainfall series in Thailand
title_sort simultaneous confidence intervals for all pairwise differences between the coefficients of variation of rainfall series in thailand
topic Statistics
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8234927/
https://www.ncbi.nlm.nih.gov/pubmed/34221731
http://dx.doi.org/10.7717/peerj.11651
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