PERMANENCE OF THE LOG-NORMAL DISTRIBUTION.
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, the observance of the log-normal distribution for the fluctuations in received intensity for propagation in a random medium can be readily explained, regardless of the size of the receiving aperture. In every case, the log-normal distribution is a better representation than the normal for the distribution of the sum of log-normal variates. However, in some cases not even the log-normal distribution is very accurate. The questions of convergence and accuracy are examined in detail. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1968
- Accession Number
- AD0670159
Entities
People
- Richard L. Mitchell
Organizations
- The Aerospace Corporation