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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Autores principales:	Patcharee Maneerat, Sa-Aat Niwitpong, Suparat Niwitpong
Formato:	article
Lenguaje:	EN
Publicado:	Public Library of Science (PLoS) 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/35825f3125b64708ad76265267af7662
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spelling	oai:doaj.org-article:35825f3125b64708ad76265267af76622021-12-02T20:09:39ZSimultaneous confidence intervals for all pairwise comparisons of the means of delta-lognormal distributions with application to rainfall data.1932-620310.1371/journal.pone.0253935https://doaj.org/article/35825f3125b64708ad76265267af76622021-01-01T00:00:00Zhttps://doi.org/10.1371/journal.pone.0253935https://doaj.org/toc/1932-6203Natural 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 [Formula: 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.Patcharee ManeeratSa-Aat NiwitpongSuparat NiwitpongPublic Library of Science (PLoS)articleMedicineRScienceQENPLoS ONE, Vol 16, Iss 7, p e0253935 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Patcharee Maneerat Sa-Aat Niwitpong Suparat Niwitpong Simultaneous confidence intervals for all pairwise comparisons of the means of delta-lognormal distributions with application to rainfall data.
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 [Formula: 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.
format	article
author	Patcharee Maneerat Sa-Aat Niwitpong Suparat Niwitpong
author_facet	Patcharee Maneerat Sa-Aat Niwitpong Suparat Niwitpong
author_sort	Patcharee Maneerat
title	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_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_sort	simultaneous confidence intervals for all pairwise comparisons of the means of delta-lognormal distributions with application to rainfall data.
publisher	Public Library of Science (PLoS)
publishDate	2021
url	https://doaj.org/article/35825f3125b64708ad76265267af7662
work_keys_str_mv	AT patchareemaneerat simultaneousconfidenceintervalsforallpairwisecomparisonsofthemeansofdeltalognormaldistributionswithapplicationtorainfalldata AT saaatniwitpong simultaneousconfidenceintervalsforallpairwisecomparisonsofthemeansofdeltalognormaldistributionswithapplicationtorainfalldata AT suparatniwitpong simultaneousconfidenceintervalsforallpairwisecomparisonsofthemeansofdeltalognormaldistributionswithapplicationtorainfalldata
_version_	1718375055009775616

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

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