## Proof that as the Standard Deviation of a Log Normal Distribution Approaches Zero the Distribution Becomes a Normal Distribution

**Authors:** Robert C. Hall

While it is fairly easy to prove that the Log Normal distribution becomes a Benford distribution as the standard deviation approaches infinity (see appendix A), it is a bit more difficult to prove that as the standard deviation approaches zero that the distribution becomes a Normal distribution with a mean of e^u where u is the mean of the natural logarithms of the data set values.

**Comments:** 5 Pages.

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### Submission history

[v1] 2018-12-27 18:34:37

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