# Lognormal distribution

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## Lognormal distribution

Pattern of frequency of occurrence in which the logarithm of the variable follows a normal distribution. Lognormal distributions are used to describe returns calculated over periods of a year or more.

## Lognormal Distribution

A way to calculate long-term returns on an investment where the natural log of some variable has a normal distribution.
References in periodicals archive ?
RSS histogram analysis offers insights into the environment impact on measurements--we conclude that the lognormal distribution models the RSS histogram with the best accuracy.
therefore, if the logarithm of P has a normal distribution, P has a lognormal distribution.
01]) was consistent with a lognormal distribution by the Shapiro-Wilk test (p = 0.
3, the distribution tends toward the lognormal distribution and conforms to the report by Li et al.
3) Slopes were assumed to follow a lognormal distribution, taking only positive values, and intercept parameters a normal distribution, taking either positive or negative values
A PROCEDURE FOR ESTIMATING PARAMETERS OF TRUNCATED LOGNORMAL DISTRIBUTION
2010) exponential distribution (BEAST (a)) or lognormal distribution (BEAST (b)) of minimum age constraints plus corrected diversification time in ages_exp and ages_logn (available from Supplementary Material *).
6 shows the generated random numbers and discretization process when the failure model follows Poisson distribution with parameter [lambda]=4, and the restoration model follows a Lognormal distribution with parameters p=1, [delta]=0.
For example, the right tail of the '5pt base' distribution is much longer in Figure 8 than in Figures 5, 6, 7, while the accumulation of probability at 1 for the '3pt_base' condition in Figure 8 is due to simulations from the longer right tail of the lognormal distribution.
Note that the expression above matches the pdf of a mixture of three-parameter lognormal distributions.
A rough understanding of this result is that the shape of a lognormal distribution may "concentrate" more at the low values.
After the one parameter Pareto distribution model, the two parameters lognormal distribution  has been proposed but this lognormal distribution fits well on middle part of income ranges but gives poor fit at upper tail.
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