Encyclopedic Dictionary of Polymers

2011 Edition
| Editors: Jan W. Gooch

Log normal Distribution

  • Jan W. Gooch
Reference work entry
DOI: https://doi.org/10.1007/978-1-4419-6247-8_7002
(logarithmic normal distribution) A statistical probability-density function, characterized by two parameters, that can sometimes provide a faithful representation of a polymer’s molecular-weight distribution or the distribution of particle sizes in ground, brittle materials. It is a variant of the familiar normal or Gaussian distribution in which the logarithm of the measured quantity replaces the quantity itself. It’s mathematical for is
$$f(x) = {1 \over {\sqrt {2\pi } \beta }}x^{ - 1} e^{ - (\ln x - \alpha )/2\beta ^2 } dx$$
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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  • Jan W. Gooch
    • 1
  1. 1.AtlantaUSA