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)")