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# F Distribution

## Parameters

- degrees of freedom #1 (positive integer)
- degrees of freedom #2 (positive integer)

## Cumulative Distribution Function

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

## Note

Since this distribution is rarely used for modelling applications, it is provided for reference only, and cannot be fitted to data.

## Worksheet and VBA Functions

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

 Description VBA Functions Worksheet Functions Probability Density Function `FPdf(x,nu1,nu2)` ``` =FPdf(nu1;nu2) =DistPdf("F(nu1;nu2)";x) ``` Cumulative Distribution Function `FCdf(x,nu1,nu2)` ``` =FCdf(nu1;nu2) =DistCdf("F(nu1;nu2)";x) ``` Survival Function `FSurv(x,nu1,nu2)` ``` =DistSurv("F(nu1;nu2)";x) ``` Hazard Function `FHaz(x,nu1,nu2)` ``` =FHaz(nu1;nu2) =DistHaz("F(nu1;nu2)";x) ``` Cumulative Hazard Function `FCumHaz(x,nu1,nu2)` ``` =DistCumHaz("F(nu1;nu2)";x) ``` Inverse CDF (Quantile Function) `FInv(P,nu1,nu2)` ``` =FInv(nu1;nu2) =DistInv("F(nu1;nu2)";P) ``` Random Numbers `FRand(nu1,nu2)` ``` =FRand(nu1;nu2) =DistRand("F(nu1;nu2)") ``` Mode `FMode(nu1,nu2)` ``` =DistMode("F(nu1;nu2)") ``` Mean `FMean(nu1,nu2)` ``` =FMean(nu1;nu2) =DistMean("F(nu1;nu2)") ``` Variance `FVar(nu1,nu2)` ``` =FVar(nu1;nu2) =DistVar("F(nu1;nu2)") ``` Standard Deviation `FStdev(nu1,nu2)` ``` =FStdev(nu1;nu2) =DistStdev("F(nu1;nu2)") ``` Skewness `FSkew(nu1,nu2)` ``` =DistSkew("F(nu1;nu2)") ``` (Excess) Kurtosis `FKurt(nu1,nu2)` ``` =DistKurt("F(nu1;nu2)") ```