Package: logcumulant Type: Package Title: Goodness-of-Fit Tests and Diagrams Based on Mellin Log-Cumulants Version: 0.1.0 Authors@R: person("Raydonal", "Ospina", role = c("aut", "cre"), email = "raydonal@de.ufpe.br", comment = c(ORCID = "0000-0002-9884-9090")) Description: A family of three complementary goodness-of-fit tests based on an adaptation of Hotelling's T-squared statistic applied to vectors of sample log-cumulants (Mellin statistics) for positive-support reliability data. The package provides the asymptotic chi-squared reference and parametric bootstrap p-values for reliable finite-sample inference, covering the Weibull, Frechet, Gamma, Inverse-Gamma, Log-Normal, and Log-Logistic families. It also provides three diagnostic diagrams (log-cumulant, kurtosis-skewness, and coefficient-of-variation) with bootstrap concentration ellipses, in the spirit of moment-ratio diagrams. Methods are described in Santos, Ospina, Espinheira and Oliveira (2025). License: GPL-3 Encoding: UTF-8 LazyData: true Depends: R (>= 4.0) Imports: Rcpp, MASS, VGAM, actuar, numDeriv, goftest, ggplot2, gridExtra LinkingTo: Rcpp, RcppArmadillo Suggests: knitr, rmarkdown, testthat (>= 3.0.0) VignetteBuilder: knitr URL: https://github.com/raydonal/logcumulant, https://raydonal.github.io/logcumulant/ BugReports: https://github.com/raydonal/logcumulant/issues Roxygen: list(markdown = FALSE) Config/roxygen2/version: 8.0.0 Repository: https://raydonal.r-universe.dev Date/Publication: 2026-07-02 18:26:12 UTC RemoteUrl: https://github.com/raydonal/logcumulant RemoteRef: HEAD RemoteSha: 9a737ea4c25f822714c5359c74f24ef31a9b5b99 NeedsCompilation: yes Packaged: 2026-09-22 10:47:07 UTC; root Author: Raydonal Ospina [aut, cre] (ORCID: ) Maintainer: Raydonal Ospina