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

PeerJ

article

Noppadon Yosboonruang¹  Sa-Aat Niwitpong¹  Suparat Niwitpong¹ 

[1] Department of Applied Statistics, King Mongkut’s University of Technology North Bangkok

关键词: Bayesian;    Coefficient of variation;    Fiducial generalized confidence interval;    Rainfall;    Delta-lognormal distribution;   

DOI  :  10.7717/peerj.11651

学科分类：社会科学、人文和艺术（综合）

来源: Inra

【 摘 要 】

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.

【 授权许可】

CC BY