Lognormal distribution plays an important role in probabilistic design because negative values of engineering phenomena are sometimes physically impossible. Typical uses of lognormal distribution are found in descriptions of fatigue failure, failure rates, and other phenomena involving a large range of data.

What is logarithmic distribution used for?

The logarithmic distribution has also been used in microbiology to model the number of organisms in a cluster. The principal motivation for doing this is that if the number of clumps in a sample are Poisson distributed, then the total number of organisms in the sample follows a Pólya distribution.

What does a lognormal distribution tell us?

In probability theory, a log-normal (or lognormal) distribution is a continuous probability distribution of a random variable whose logarithm is normally distributed. ... A log-normal process is the statistical realization of the multiplicative product of many independent random variables, each of which is positive.