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# Johnson SB Distribution

## Parameters

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

## 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)") ```