Johnson SL Distribution

Probability Density Function (PDF)

Cumulative Distribution Function (CDF)

where 𝜙(𝑥) and Φ(𝑥) are respectively the PDF and CDF of the standard normal distribution.

• Range -𝜂 < 𝑥 < ∞
• Location parameter, 𝜂, the mean
• Scale parameter 𝜆 = 1
• Shape1 parameter 𝛾
• Shape2 parameter 𝛿 > 0