Rockwell Automation Arena Basic Edition Users Guide - Manual (Page 74)

A RENA B ASIC E DITION U SER ’ S G UIDE
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JohnsonJOHNSON(Gamma, Delta, Lambda, Xi) or JOHN(Gamma,
Delta, Lambda, Xi)
Gamma shape parameter ( γ ), Delta shape parameter ( δ > 0), Lambda scale parameter ( λ ),
and Xi location parameter ( ξ ).
( − ∞, + ∞ ) Unbounded Family
[ ξ, ξ + λ] Bounded Family
The flexibility of the Johnson distribution allows it to fit many data sets. Arena can
sample from both the unbounded and bounded form of the distribution. If Delta (
δ ) is
passed as a positive number, the bounded form is used. If Delta is passed as a negative
value, the unbounded form is used with |
δ | as the parameter.
Probability
Density
Function
Parameters
Range
Applications
Unbounded Family Bounded Family