Student's t Distribution

Parameters

Domain

Probability Density Function

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)")