FitVerse: Parametric Distribution Fitting and Analysis
Introduction | Package overview | Real-data applications | Ground beef serving sizes | Annual maximum sea levels at Port Pirie | Endosulfan toxicity: log-logistic application | US city annual precipitation | Benchmark: FitVerse vs. fitdistrplus and MASS | Added value beyond MLE | Simulation study | Design | Results | Interpretation | Bootstrap confidence intervals | Batch fitting | Hydrological distributions: GPD, Pearson III, Log-Pearson III, and GLO | Generalised Pareto Distribution (GPD): Peaks-Over-Threshold | Pearson Type III: Inland flood frequency (e.g. US Bulletin 17C) | Log-Pearson Type III: US flood standard | Generalised Logistic Distribution (GLO): UK flood standard | Censored and truncated data | Right-censored reliability data | Left-censored environmental data (below detection limit) | Truncated occupational exposure data | L-moment ratio diagram | Extreme-value threshold selection | Extended distribution catalogue | Lindley distribution | Johnson SU distribution | Nakagami distribution | Wakeby distribution (L-Moments only) | Grouped and interval data | Midpoint format: annual rainfall | Interval format: failure-time data | Automated report generation | Interactive Shiny application | Launching the app | Application tabs | Sample datasets | Conclusion | References