lognormal distribution


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log·nor·mal dis·tri·bu·tion

if a variable y is such that x = log y, it is said to have a lognormal distribution; this is a skew distribution.

lognormal distribution

see lognormal distribution.
References in periodicals archive ?
The lognormal distribution implies that ability is always positive and is negatively skewed.
As a result, the authors use a weighted regression for gamma, inverse-Gaussian and lognormal distributions to approximate the random effects distribution.
joist]) based on the load-sharing model (given by Equation [12]), the two-parameter lognormal distribution fit the data as well as shown in Figures 6 and 7 using the same statistical tests.
where mean = the mean of the lognormal distribution of the catch of fish or shrimp;
A sample of 1,000 simulations of r, obtained by bootstrapping, is described by a lognormal distribution.
Power and Moser (1999) expressed similar concerns about sampled distributions of fish and plankton collected by research trawl nets, noting that the assumption of an underlying normal or lognormal distribution for these types of data is commonplace, and perhaps in error, and that distributions such as the Poisson or negative binomial may be more appropriate.
The RMS term is required to estimate the arithmetic mean from the geometric mean of the assumed lognormal distribution.
Actuaries have found (Hewitt and Lefkowitz, 1979; Hogg and Klugman, 1984; among others) that a lognormal distribution is an important model for claim distributions.
Louberge, Kellezi, and Gilli (1999) numerically estimated the CAT bond price under the assumptions that the catastrophe loss follows a pure Poisson process, the loss severity is an independently identical lognormal distribution, and the interest rate is driven by a binomial random process.
The standard assumption in the option pricing literature is the lognormal distribution.
The starting point of the statistical analysis is the assumption that annual healthcare expenses of individuals follow a lognormal distribution with parameters [micro] and [sigma].
For a lognormal distribution, the distorted distribution is also lognormal.