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Simultaneous confidence intervals for all pairwise comparisons of the means of delta-lognormal distributions with application to rainfall data

Natural disasters such as flooding and landslides are important unexpected events during the rainy season in Thailand, and how to direct action to avoid their impacts is the motivation behind this study. The differences between the means of natural rainfall datasets in different areas can be estimat...

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Detalles Bibliográficos
Autores principales: Maneerat, Patcharee, Niwitpong, Sa-Aat, Niwitpong, Suparat
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8260007/
https://www.ncbi.nlm.nih.gov/pubmed/34228765
http://dx.doi.org/10.1371/journal.pone.0253935
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author Maneerat, Patcharee
Niwitpong, Sa-Aat
Niwitpong, Suparat
author_facet Maneerat, Patcharee
Niwitpong, Sa-Aat
Niwitpong, Suparat
author_sort Maneerat, Patcharee
collection PubMed
description Natural disasters such as flooding and landslides are important unexpected events during the rainy season in Thailand, and how to direct action to avoid their impacts is the motivation behind this study. The differences between the means of natural rainfall datasets in different areas can be estimated using simultaneous confidence intervals (SCIs) for pairwise comparisons of the means of delta-lognormal distributions. Our proposed methods are based on a parametric bootstrap (PB), a fiducial generalized confidence interval (FGCI), the method of variance estimates recovery (MOVER), and Bayesian credible intervals based on mixed (BCI-M) and uniform (BCI-U) priors. Their coverage probabilities, lower and upper error probabilities, and relative average lengths were used to evaluate and compare their SCI performances through Monte Carlo simulation. The results show that BCI-U and PB work well in different situations, even with large differences in variances [Image: see text] . All of the methods were applied to estimate pairwise differences between the means of natural rainfall data from five areas in Thailand during the rainy season to determine their abilities to predict occurrences of flooding and landslides.
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spelling pubmed-82600072021-07-19 Simultaneous confidence intervals for all pairwise comparisons of the means of delta-lognormal distributions with application to rainfall data Maneerat, Patcharee Niwitpong, Sa-Aat Niwitpong, Suparat PLoS One Research Article Natural disasters such as flooding and landslides are important unexpected events during the rainy season in Thailand, and how to direct action to avoid their impacts is the motivation behind this study. The differences between the means of natural rainfall datasets in different areas can be estimated using simultaneous confidence intervals (SCIs) for pairwise comparisons of the means of delta-lognormal distributions. Our proposed methods are based on a parametric bootstrap (PB), a fiducial generalized confidence interval (FGCI), the method of variance estimates recovery (MOVER), and Bayesian credible intervals based on mixed (BCI-M) and uniform (BCI-U) priors. Their coverage probabilities, lower and upper error probabilities, and relative average lengths were used to evaluate and compare their SCI performances through Monte Carlo simulation. The results show that BCI-U and PB work well in different situations, even with large differences in variances [Image: see text] . All of the methods were applied to estimate pairwise differences between the means of natural rainfall data from five areas in Thailand during the rainy season to determine their abilities to predict occurrences of flooding and landslides. Public Library of Science 2021-07-06 /pmc/articles/PMC8260007/ /pubmed/34228765 http://dx.doi.org/10.1371/journal.pone.0253935 Text en © 2021 Maneerat 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, and reproduction in any medium, provided the original author and source are credited.
spellingShingle Research Article
Maneerat, Patcharee
Niwitpong, Sa-Aat
Niwitpong, Suparat
Simultaneous confidence intervals for all pairwise comparisons of the means of delta-lognormal distributions with application to rainfall data
title Simultaneous confidence intervals for all pairwise comparisons of the means of delta-lognormal distributions with application to rainfall data
title_full Simultaneous confidence intervals for all pairwise comparisons of the means of delta-lognormal distributions with application to rainfall data
title_fullStr Simultaneous confidence intervals for all pairwise comparisons of the means of delta-lognormal distributions with application to rainfall data
title_full_unstemmed Simultaneous confidence intervals for all pairwise comparisons of the means of delta-lognormal distributions with application to rainfall data
title_short Simultaneous confidence intervals for all pairwise comparisons of the means of delta-lognormal distributions with application to rainfall data
title_sort simultaneous confidence intervals for all pairwise comparisons of the means of delta-lognormal distributions with application to rainfall data
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8260007/
https://www.ncbi.nlm.nih.gov/pubmed/34228765
http://dx.doi.org/10.1371/journal.pone.0253935
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