Affine growth of hurricane speeds

Hurricane strength, often measured by wind speed or the Saffir-Simpson scale, is commonly modelled using a Weibull distribution or a log-normal distribution.

Coin flips with offset returns are approximated by the normal distribution, linear returns by the log-normal and affine returns seem to be approximated by an appropriately scaled logit-normal distribution. A reasonable fit for the hurricane speeds is performed by this latter distribution. Perhaps because, for some cases at least, affine returns result in power law tails. Further details for the Atlantic and Pacific Oceans are contained in a pre-print on GitHub.