*** Welcome to piglix ***

Log-normal distribution

Log-normal
Probability density function
Plot of the Lognormal PDF
Some log-normal density functions with identical location parameter but differing scale parameters
Cumulative distribution function
Plot of the Lognormal CDF
Cumulative distribution function of the log-normal distribution (with )
Notation
Parameters — location,
— scale
of associated normal
Support
PDF
CDF
Mean
Median
Mode
Variance
Skewness
Ex. kurtosis
Entropy
MGF defined only on the negative half-axis, see text
CF representation is asymptotically divergent but sufficient for numerical purposes
Fisher information

In probability theory, a log-normal (or lognormal) distribution is a continuous probability distribution of a random variable whose logarithm is normally distributed. Thus, if the random variable is log-normally distributed, then has a normal distribution. Likewise, if has a normal distribution, then has a log-normal distribution. A random variable which is log-normally distributed takes only positive real values. The distribution is occasionally referred to as the Galton distribution or Galton's distribution, after Francis Galton. The log-normal distribution also has been associated with other names, such as McAlister, Gibrat and Cobb–Douglas.


...
Wikipedia

...