gld

Estimation and Use of the Generalised (Tukey) Lambda Distribution

CRAN Package

The generalised lambda distribution, or Tukey lambda distribution, provides a wide variety of shapes with one functional form. This package provides random numbers, quantiles, probabilities, densities and density quantiles for four different types of the distribution, the FKML (Freimer et al 1988), RS (Ramberg and Schmeiser 1974), GPD (van Staden and Loots 2009) and FM5 - see documentation for details. It provides the density function, distribution function, and Quantile-Quantile plots. It implements a variety of estimation methods for the distribution, including diagnostic plots. Estimation methods include the starship (all 4 types), method of L-Moments for the GPD and FKML types, and a number of methods for only the FKML type. These include maximum likelihood, maximum product of spacings, Titterington's method, Moments, Trimmed L-Moments and Distributional Least Absolutes.


Documentation


Team


Insights

Last 30 days

This package has been downloaded 58,202 times in the last 30 days. This work is reaching a lot of screens. A significant achievement indeed! The following heatmap shows the distribution of downloads per day. Yesterday, it was downloaded 2,402 times.

Sun
Mon
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Sat
0 downloadsMar 2, 2025
0 downloadsMar 3, 2025
2,159 downloadsMar 4, 2025
2,442 downloadsMar 5, 2025
2,418 downloadsMar 6, 2025
2,015 downloadsMar 7, 2025
968 downloadsMar 8, 2025
1,081 downloadsMar 9, 2025
2,281 downloadsMar 10, 2025
2,682 downloadsMar 11, 2025
2,420 downloadsMar 12, 2025
2,356 downloadsMar 13, 2025
1,976 downloadsMar 14, 2025
1,108 downloadsMar 15, 2025
1,162 downloadsMar 16, 2025
2,373 downloadsMar 17, 2025
2,340 downloadsMar 18, 2025
2,360 downloadsMar 19, 2025
2,346 downloadsMar 20, 2025
1,727 downloadsMar 21, 2025
1,011 downloadsMar 22, 2025
1,113 downloadsMar 23, 2025
2,257 downloadsMar 24, 2025
2,332 downloadsMar 25, 2025
2,474 downloadsMar 26, 2025
2,181 downloadsMar 27, 2025
1,770 downloadsMar 28, 2025
961 downloadsMar 29, 2025
992 downloadsMar 30, 2025
2,122 downloadsMar 31, 2025
2,373 downloadsApr 1, 2025
2,402 downloadsApr 2, 2025
0 downloadsApr 3, 2025
0 downloadsApr 4, 2025
0 downloadsApr 5, 2025
961
2,682

The following line graph shows the downloads per day. You can hover over the graph to see the exact number of downloads per day.

Last 365 days

This package has been downloaded 500,631 times in the last 365 days. Half a million downloads! This work is now a household name in certain academic circles. The day with the most downloads was Jan 21, 2025 with 2,877 downloads.

The following line graph shows the downloads per day. You can hover over the graph to see the exact number of downloads per day.

Data provided by CRAN


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