Johnson SB 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("JohnsonSB";Data)

Probability Density Function JohnsonSBPdf(x,gamma,delta,lambda,xi) =JohnsonSBPdf(gamma;delta;lambda;xi) =DistPdf("JohnsonSB(gamma;delta;lambda;xi)";x)

Cumulative Distribution Function JohnsonSBCdf(x,gamma,delta,lambda,xi) =JohnsonSBCdf(gamma;delta;lambda;xi) =DistCdf("JohnsonSB(gamma;delta;lambda;xi)";x)

Survival Function JohnsonSBSurv(x,gamma,delta,lambda,xi) =DistSurv("JohnsonSB(gamma;delta;lambda;xi)";x)

Hazard Function JohnsonSBHaz(x,gamma,delta,lambda,xi) =JohnsonSBHaz(gamma;delta;lambda;xi) =DistHaz("JohnsonSB(gamma;delta;lambda;xi)";x)

Cumulative Hazard Function JohnsonSBCumHaz(x,gamma,delta,lambda,xi) =DistCumHaz("JohnsonSB(gamma;delta;lambda;xi)";x)

Inverse CDF (Quantile Function) JohnsonSBInv(P,gamma,delta,lambda,xi) =JohnsonSBInv(gamma;delta;lambda;xi) =DistInv("JohnsonSB(gamma;delta;lambda;xi)";P)

Random Numbers JohnsonSBRand(gamma,delta,lambda,xi) =JohnsonSBRand(gamma;delta;lambda;xi) =DistRand("JohnsonSB(gamma;delta;lambda;xi)")