Estimators and Plots for Gamma and Pareto Tail Detection
Estimate of tail functional g and confidence intervals for g and alpha
Plot the estimated g and the corresponding confidence intervals
Estimate of tail functional t and confidence intervals for t and alpha
Plot the estimated t and the corresponding confidence intervals
Estimators for two functionals used to detect Gamma or Pareto distributions, as well as distributions exhibiting similar tail behavior, as introduced by Iwashita and Klar (2023) <doi:10.1111/stan.12316> and Klar (2024) <doi:10.1080/00031305.2024.2413081>. One of these functionals, g, originally proposed by Asmussen and Lehtomaa (2017) <doi:10.3390/risks5010010>, distinguishes between log-convex and log-concave tail behavior. The package also includes methods for visualizing these estimators and their associated confidence intervals across various threshold values.