Goodness-of-Fit Tests and Diagrams Based on Mellin Log-Cumulants


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Documentation for package ‘logcumulant’ version 0.1.0

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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