An urn process that includes both the giving and the taking away would produce a log-normal distribution rather than a power law .

In fact, there is a whole family of distributions with the same moments as the log-normal distribution.

Its probability density function at the neighborhood of 0 has been characterized and it does not resemble any log-normal distribution.

(This problem is also workable for transformed units such as the log-normal distribution).

The work was in response to a question put by Francis Galton and contains what is now called the log-normal distribution.

The geometric standard deviation is related to the log-normal distribution.

The conventional assumption has been that stock markets behave according to a random log-normal distribution.

A well-known class of distributions that can be arbitrarily skewed is given by the log-normal distribution.

See geometric moments of the log-normal distribution for further discussion.

It is similar in shape to the log-normal distribution but has heavier tails.