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Johnson SU Distribution

Parameters

- continuous shape parameter
- continuous shape parameter ()
- continuous scale parameter ()
- continuous location parameter

Domain

Probability Density Function

Cumulative Distribution Function


where ,  and is the Laplace Integral.

Worksheet and VBA Functions

The following worksheet and VBA functions are available for this distribution:

Description
VBA Functions
Worksheet Functions
Distribution Fitting - =DistFit("JohnsonSU";Data)
Probability Density Function JohnsonSUPdf(x,gamma,delta,lambda,xi) =JohnsonSUPdf(gamma;delta;lambda;xi)
=DistPdf("JohnsonSU(gamma;delta;lambda;xi)";x)
Cumulative Distribution Function JohnsonSUCdf(x,gamma,delta,lambda,xi) =JohnsonSUCdf(gamma;delta;lambda;xi)
=DistCdf("JohnsonSU(gamma;delta;lambda;xi)";x)
Survival Function JohnsonSUSurv(x,gamma,delta,lambda,xi) =DistSurv("JohnsonSU(gamma;delta;lambda;xi)";x)
Hazard Function JohnsonSUHaz(x,gamma,delta,lambda,xi) =JohnsonSUHaz(gamma;delta;lambda;xi)
=DistHaz("JohnsonSU(gamma;delta;lambda;xi)";x)
Cumulative Hazard Function JohnsonSUCumHaz(x,gamma,delta,lambda,xi) =DistCumHaz("JohnsonSU(gamma;delta;lambda;xi)";x)
Inverse CDF (Quantile Function) JohnsonSUInv(P,gamma,delta,lambda,xi) =JohnsonSUInv(gamma;delta;lambda;xi)
=DistInv("JohnsonSU(gamma;delta;lambda;xi)";P)
Random Numbers JohnsonSURand(gamma,delta,lambda,xi) =JohnsonSURand(gamma;delta;lambda;xi)
=DistRand("JohnsonSU(gamma;delta;lambda;xi)")
Mean JohnsonSUMean(gamma,delta,lambda,xi) =JohnsonSUMean(gamma;delta;lambda;xi)
=DistMean("JohnsonSU(gamma;delta;lambda;xi)")
Variance JohnsonSUVar(gamma,delta,lambda,xi) =JohnsonSUVar(gamma;delta;lambda;xi)
=DistVar("JohnsonSU(gamma;delta;lambda;xi)")
Standard Deviation JohnsonSUStdev(gamma,delta,lambda,xi) =JohnsonSUStdev(gamma;delta;lambda;xi)
=DistStdev("JohnsonSU(gamma;delta;lambda;xi)")
Skewness JohnsonSUSkew(gamma,delta,lambda,xi) =DistSkew("JohnsonSU(gamma;delta;lambda;xi)")
(Excess) Kurtosis JohnsonSUKurt(gamma,delta,lambda,xi) =DistKurt("JohnsonSU(gamma;delta;lambda;xi)")

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