A Python 3.x library to estimate linear moments for statistical distribution functions.

Requires the packages numpy and scipy.

For the Python 2.x compatible package see lmoments on the Python Package Index.


lmoments3 can be installed via pip

$ pip install lmoments3


Documentation is available on Read the Docs.

Source code can be found at GitHub.


This package contains a Python 3.x implementation of the lmoments.f library created by J. R. M. Hosking. (copy of original code)

IBM software disclaimer

The base Fortran code is copyright of the IBM Corporation, and the licensing information is shown below:

LMOMENTS: Fortran routines for use with the method of L-moments

Permission to use, copy, modify and distribute this software for any purpose and without fee is hereby granted, provided that this copyright and permission notice appear on all copies of the software. The name of the IBM Corporation may not be used in any advertising or publicity pertaining to the use of the software. IBM makes no warranty or representations about the suitability of the software for any purpose. It is provided “AS IS” without any express or implied warranty, including the implied warranties of merchantability, fitness for a particular purpose and non-infringement. IBM shall not be liable for any direct, indirect, special or consequential damages resulting from the loss of use, data or projects, whether in an action of contract or tort, arising out of or in connection with the use or performance of this software.

Additional code

Additional code from the R library lmomco has been converted into Python. This library was developed by William Asquith, and was released under the GPL-3 License. Copyright (C) 2012 William Asquith.

Original Python translation

The Python translation was conducted by:

Sam Gillespie
Numerical Analyst
C&R Consulting
Townsville Australia
September 2013

For more information, or to report bugs, contact: <sam.gillespie@my.jcu.edu.au>

Licensing for Python Translation:

Copyright (C) 2014 Sam Gillespie

This program is free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version.

This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.

You should have received a copy of the GNU General Public License along with this program. If not, see <https://www.gnu.org/licenses/>

Python 3 compatibility

The Python package was further updated to make it compatible with Python 3.x by Florenz A.P. Hollebrandse <f.a.p.hollebrandse@protonmail.ch>.

The software remains licenced under the GNU General Public License, see <https://www.gnu.org/licenses/gpl.html>.

The Python 3 port, is based on the original lmoments package, version 0.2.2.

The Ouranosinc package was forked from OpenHydrology’s lmoments3. The primary aims of this fork are to provide maintenance for the existing codebase as well as update the project to benefit from more modern Python coding conventions, maintain compatibility with existing Python dependencies.