Permanence of the Log-Normal Distribution*
- 1 September 1968
- journal article
- Published by Optica Publishing Group in Journal of the Optical Society of America
- Vol. 58 (9), 1267-1272
- https://doi.org/10.1364/josa.58.001267
Abstract
The distribution of the sum of log-normal variates is shown for most cases of interest to be very accurately represented by a log-normal distribution instead of a normal or Rayleigh distribution that might be expected from the central-limit theorem. As a result, observation of the log-normal distribution for the fluctuations of flux received after propagation through a random medium can be readily explained, regardless of the size of the receiving aperture.Keywords
This publication has 4 references indexed in Scilit:
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- Detection Probabilities for Log-Normally Distributed SignalsIEEE Transactions on Aerospace and Electronic Systems, 1967
- Experimental determination of antenna sidelobe statisticsProceedings of the IEEE, 1966
- Amplitude-probability distribution of atmospheric radio noiseJournal of Research of the National Bureau of Standards, Section D: Radio Science, 1964