Confidence Interval Estimation for the Ratio of the Percentiles of Two Delta-Lognormal Distributions with Application to Rainfall Data

The log-normal distribution (skewed or asymmetry distribution) is used to describe random variables comprising positive real values. It well known that the logarithm values of these are normally distributed (symmetry distribution). Positively right-skewed data applicable frequently observed in fields environmental studies, biology, and medicine. number zero observations follows a binomial distribution. However, problems can arise analysis containing along with log-normally data, for which delta-lognormal often referred using data. In statistics, percentile provides relative standing numerical point when compared all others reference at below it. this study, estimates confidence interval ratio percentiles two distributions constructed fiducial generalized approaches based on quantity optimal quantity, Bayesian approach, parametric bootstrap method. As assessed by Monte Carlo simulations RStudio programming terms coverage probability average length, approach performed quite providing adequate probabilities shortest lengths scenarios tested. Daily rainfall contain both daily usually be fitted Their application also provided illustrate their efficacies efficacy compare dispersion populations.