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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...
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/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. |
format | Online Article Text |
id | pubmed-8234927 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2021 |
publisher | PeerJ Inc. |
record_format | MEDLINE/PubMed |
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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