Hyperbolic Secant Distribution

Parameters

- continuous scale parameter (

)

- continuous location parameter

Domain

Probability Density Function

Cumulative Distribution Function

Worksheet and VBA Functions

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

Description VBA Functions Worksheet Functions

Distribution Fitting - =DistFit("Hypersecant";Data)

Probability Density Function HypersecantPdf(x,sigma,mu) =HypersecantPdf(sigma;mu) =DistPdf("Hypersecant(sigma;mu)";x)

Cumulative Distribution Function HypersecantCdf(x,sigma,mu) =HypersecantCdf(sigma;mu) =DistCdf("Hypersecant(sigma;mu)";x)

Survival Function HypersecantSurv(x,sigma,mu) =DistSurv("Hypersecant(sigma;mu)";x)

Hazard Function HypersecantHaz(x,sigma,mu) =HypersecantHaz(sigma;mu) =DistHaz("Hypersecant(sigma;mu)";x)

Cumulative Hazard Function HypersecantCumHaz(x,sigma,mu) =DistCumHaz("Hypersecant(sigma;mu)";x)

Inverse CDF (Quantile Function) HypersecantInv(P,sigma,mu) =HypersecantInv(sigma;mu) =DistInv("Hypersecant(sigma;mu)";P)

Random Numbers HypersecantRand(sigma,mu) =HypersecantRand(sigma;mu) =DistRand("Hypersecant(sigma;mu)")

Mode HypersecantMode(sigma,mu) =DistMode("Hypersecant(sigma;mu)")

Mean HypersecantMean(sigma,mu) =HypersecantMean(sigma;mu) =DistMean("Hypersecant(sigma;mu)")

Variance HypersecantVar(sigma,mu) =HypersecantVar(sigma;mu) =DistVar("Hypersecant(sigma;mu)")

Standard Deviation HypersecantStdev(sigma,mu) =HypersecantStdev(sigma;mu) =DistStdev("Hypersecant(sigma;mu)")

Skewness HypersecantSkew(sigma,mu) =DistSkew("Hypersecant(sigma;mu)")

(Excess) Kurtosis HypersecantKurt(sigma,mu) =DistKurt("Hypersecant(sigma;mu)")