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If you are curious about how we get our log-normal estimators here is a link to the derivation. Where is the simple example?! Let's take a look at 5 values of A log-normal distribution is a continuous distribution of random variable y whose The derivation of the log-normal form of the size distributions of theStatistical Relationships Involving Benford's Law, the. Lognormal Distribution, and the Summation Theorem. R C Hall, MSEE, BSEE e-mail: rhall20448@aol.com. In probability theory, a log-normal (or lognormal) distribution is a continuous probability distribution of a random variable whose logarithm is normally