Probability density function
see formula (2.1) in the article
Cumulative distribution function
see formula (2.3)
Quantile functon
see proposition (2.2)
Random number generator
see proposition (2.6)
References
Sulewski, P. (2022). New Members of The Johnson Family of Probability Distributions:Properties and Application, Accepted: February 2022. REVSTAT-Statistical Journal.