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# Student's t Distribution

## Parameters

- degrees of freedom (positive integer)

## Cumulative Distribution Function

where is the Gamma Function,  and is the Regularized Incomplete Beta Function.

## Worksheet and VBA Functions

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

 Description VBA Functions Worksheet Functions Distribution Fitting - ``` =DistFit("Student";Data) ``` Probability Density Function `StudentPdf(x,nu)` ``` =StudentPdf(nu) =DistPdf("Student(nu)";x) ``` Cumulative Distribution Function `StudentCdf(x,nu)` ``` =StudentCdf(nu) =DistCdf("Student(nu)";x) ``` Survival Function `StudentSurv(x,nu)` ``` =DistSurv("Student(nu)";x) ``` Hazard Function `StudentHaz(x,nu)` ``` =StudentHaz(nu) =DistHaz("Student(nu)";x) ``` Cumulative Hazard Function `StudentCumHaz(x,nu)` ``` =DistCumHaz("Student(nu)";x) ``` Inverse CDF (Quantile Function) `StudentInv(P,nu)` ``` =StudentInv(nu) =DistInv("Student(nu)";P) ``` Random Numbers `StudentRand(nu)` ``` =StudentRand(nu) =DistRand("Student(nu)") ``` Mode `StudentMode(nu)` ``` =DistMode("Student(nu)") ``` Mean `StudentMean(nu)` ``` =StudentMean(nu) =DistMean("Student(nu)") ``` Variance `StudentVar(nu)` ``` =StudentVar(nu) =DistVar("Student(nu)") ``` Standard Deviation `StudentStdev(nu)` ``` =StudentStdev(nu) =DistStdev("Student(nu)") ``` Skewness `StudentSkew(nu)` ``` =DistSkew("Student(nu)") ``` (Excess) Kurtosis `StudentKurt(nu)` ``` =DistKurt("Student(nu)") ```