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logcumulant  

Goodness-of-Fit Tests and Diagrams Based on Mellin Log-Cumulants
View on CRAN: Click here


Download and install logcumulant package within the R console
Install from CRAN:
install.packages("logcumulant")

Install from Github:
library("remotes")
install_github("cran/logcumulant")

Install by package version:
library("remotes")
install_version("logcumulant", "0.1.0")



Attach the package and use:
library("logcumulant")
Maintained by
Raydonal Ospina
[Scholar Profile | Author Map]
All associated links for this package
First Published: 2026-06-12
Latest Update: 2026-06-12
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).
How to cite:
Raydonal Ospina (2026). logcumulant: Goodness-of-Fit Tests and Diagrams Based on Mellin Log-Cumulants. R package version 0.1.0, https://cran.r-project.org/web/packages/logcumulant. Accessed 14 Jul. 2026.
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