| ad_cvm_test | Anderson-Darling and Cramer-von Mises tests |
| aic_value | Akaike information criterion for a fitted family |
| cv_diagram | Coefficient-of-variation diagram |
| distribution_dispatchers | Distribution dispatchers for the six reliability families |
| fisher_closed | Closed-form Fisher information matrix |
| gof_analyze | Full goodness-of-fit analysis for one distribution |
| gof_compare_all | Compare all candidate distributions |
| jacobian_J | Analytic Jacobian of log-cumulants with respect to parameters |
| kurtosis_diagram | Kurtosis-skewness diagram |
| ldist | Distribution dispatchers for the six reliability families |
| log_cumulant_diagram | Log-cumulant diagram |
| mle_fit | Maximum-likelihood fit of a reliability distribution |
| multi_lc_diagram | Multi-dataset log-cumulant diagram |
| pdist | Distribution dispatchers for the six reliability families |
| plot_lc | Quick log-cumulant plot |
| power_study | Empirical power study |
| rdist | Distribution dispatchers for the six reliability families |
| reliability_datasets | Nine reliability datasets used in the applications |
| size_study | Empirical size (Type I error) study |
| T2_all | All three nested T^2 statistics |
| T2_bootstrap | Parametric bootstrap p-values for the T^2 statistics |
| T2_one | Hotelling-type T^2 statistic for one cumulant set |
| theoretical_lc | Theoretical log-cumulants |
| three_diagrams | Combined three-panel diagnostic figure |