Normal Distribution

Parameters

- continuous scale parameter (

)

- continuous location parameter

Domain

Probability Density Function

Cumulative Distribution Function

where 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("Normal";Data)

Probability Density Function NormalPdf(x,sigma,mu) =NormalPdf(sigma;mu) =DistPdf("Normal(sigma;mu)";x)

Cumulative Distribution Function NormalCdf(x,sigma,mu) =NormalCdf(sigma;mu) =DistCdf("Normal(sigma;mu)";x)

Survival Function NormalSurv(x,sigma,mu) =DistSurv("Normal(sigma;mu)";x)

Hazard Function NormalHaz(x,sigma,mu) =NormalHaz(sigma;mu) =DistHaz("Normal(sigma;mu)";x)

Cumulative Hazard Function NormalCumHaz(x,sigma,mu) =DistCumHaz("Normal(sigma;mu)";x)

Inverse CDF (Quantile Function) NormalInv(P,sigma,mu) =NormalInv(sigma;mu) =DistInv("Normal(sigma;mu)";P)

Random Numbers NormalRand(sigma,mu) =NormalRand(sigma;mu) =DistRand("Normal(sigma;mu)")

Mode NormalMode(sigma,mu) =DistMode("Normal(sigma;mu)")

Mean NormalMean(sigma,mu) =NormalMean(sigma;mu) =DistMean("Normal(sigma;mu)")

Variance NormalVar(sigma,mu) =NormalVar(sigma;mu) =DistVar("Normal(sigma;mu)")

Standard Deviation NormalStdev(sigma,mu) =NormalStdev(sigma;mu) =DistStdev("Normal(sigma;mu)")

Skewness NormalSkew(sigma,mu) =DistSkew("Normal(sigma;mu)")

(Excess) Kurtosis NormalKurt(sigma,mu) =DistKurt("Normal(sigma;mu)")