Standard Article

Lognormal Distribution

General

  1. Abdel El-shaarawi

Published Online: 15 SEP 2006

DOI: 10.1002/9780470057339.val016m

Encyclopedia of Environmetrics

Encyclopedia of Environmetrics

How to Cite

El-shaarawi, A. 2006. Lognormal Distribution. Encyclopedia of Environmetrics. 3.

Author Information

  1. National Water Research Institute, Burlington, Ontario, Canada

Publication History

  1. Published Online: 15 SEP 2006

Abstract

The lognormal distribution is widely used by environmental scientists to model their data. Its popularity is based on the fact that many environmental measurements are non-negative and their histograms are frequently skewed to the right but the histograms of log-transformed data resemble those of the normal distribution. Another reason for its popularity is the simplicity of performing the analysis using the familiar normal theory methods. It has been shown that the lognormal distribution arises naturally by applying the central limit theorem when a multiplicative process is used to combine the error.