3-Parameters LogNormal distribution library

A package of the most common functions for the 3-parameters LogNormal distribution (LN3)

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The 3-Parameters LogNormal distribution is an interesting alternative for extreme values modelization, like the GEV, Gumbel, GLO or Pearson 3 distributions (among others). It can also be used for many other scientific domains as well.

For the 3-Parameters LogNormal distribution distribution
-Estimate the parameters of the distribution for a given sample
-Compute the probability density function (pdf)
-Compute the cumulative distribution function (cdf)
-Compute the inverse of the cumulative distribution function
-Generate a random sample

The fitting of the parameters is based on the L-moment method from Hosking and Wallis (1997) :
Hosking, J., & Wallis, J. (1997). Regional Frequency Analysis: An Approach Based on L-Moments. Cambridge: Cambridge University Press. doi:10.1017/CBO9780511529443

Cite As

Guillaume Talbot (2026). 3-Parameters LogNormal distribution library (https://www.mathworks.com/matlabcentral/fileexchange/91225-3-parameters-lognormal-distribution-library), MATLAB Central File Exchange. Retrieved .

Acknowledgements

Inspired: Extreme values statistical analysis library

General Information

MATLAB Release Compatibility

  • Compatible with any release

Platform Compatibility

  • Windows
  • macOS
  • Linux
Version Published Release Notes Action
1.0.0