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

The logcumulant package implements a family of three complementary goodness-of-fit tests based on an adaptation of Hotelling's \(T^2\) statistic applied to vectors of sample log-cumulants (Mellin statistics) for positive-support reliability data, together with three diagnostic diagrams.

Main functions

Diagrams

log_cumulant_diagram, kurtosis_diagram, cv_diagram, three_diagrams, multi_lc_diagram, plot_lc

Tests

T2_all, T2_bootstrap, gof_compare_all

Simulation

size_study, power_study

Building blocks

mle_fit, theoretical_lc, jacobian_J, fisher_closed

Data

Nine reliability datasets are bundled as reliability_datasets.

See also

Useful links:

• https://github.com/raydonal/logcumulant

• https://raydonal.github.io/logcumulant/

• Report bugs at https://github.com/raydonal/logcumulant/issues

Author

Maintainer: Raydonal Ospina raydonal@de.ufpe.br (ORCID)

Authors:

• Raydonal Ospina raydonal@de.ufpe.br (ORCID)