
pmid: 34221731
pmc: PMC8234927
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.
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
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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