Johnson's SB random variables can be generated from U as follows: The SB-distribution is convenient to Platykurtic distributions (Kurtosis).

To simulate SU, sample of code for its density and cumulative distribution function is available here Johnson's

An R package, JSUparameters, was developed in 2021 to aid in the estimation of the parameters of the best-fitting Johnson's

QPDs can provide greater shape flexibility than the Johnson system.

-distribution is also used in the modelling of the invariant mass of some heavy mesons in the field of B-physics.