When and why do you use lognormal distribution or normal distribution for analyzing securities? Lognormal for stocks, normal for portfolio returns.

What Is the Normal Distribution? The normal distribution formula is based on two simple parameters— mean and standard deviation —that quantify the characteristics of a given dataset.

A Log-Normal distribution function is the normal distribution for the logarithm of the variable. In linear scale it is a highly skewed distribution with a long tail in the high productivity side.

The authors describe methods for estimating the mean and standard deviation of the normal distribution based on estimates of the mean and standard deviation determined from the folded normal. Tables ...

The truncated (below zero) normal distribution is considered. Some existing results are surveyed, and a recursive moment formula is used to derive the first four central moments in terms of the mean ...