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

فترات الثقة المتزامنة لجميع الاختلافات الزوجية بين معاملات تباين سلسلة هطول الأمطار في تايلاند
Authors: Noppadon Yosboonruang; Sa‐Aat Niwitpong; Suparat Niwitpong;

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

Abstract

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.

Keywords

Statistics and Probability, Rainfall, Atmospheric Science, Coefficient of variation, QH301-705.5, Bayesian probability, Bayesian, Pairwise comparison, Satellite-Based Precipitation Estimation and Validation, Skew Distributions and Applications in Statistics, FOS: Mathematics, Series (stratigraphy), Biology (General), Global and Planetary Change, Fiducial generalized confidence interval, Physics, Statistics, Confidence interval, R, Log-normal distribution, Paleontology, Geology, Optics, FOS: Earth and related environmental sciences, Dispersion (optics), Earth and Planetary Sciences, Monte Carlo method, Credible interval, Global Drought Monitoring and Assessment, Environmental Science, Physical Sciences, Robust confidence intervals, Delta-lognormal distribution, Poisson distribution, Medicine, Negative binomial distribution, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Top 10%
Average
Average
Green
gold