The F - Distribution
The- distribution arises as the ratio of two chi-squared distributions:
where
andhave chi-square distributions withanddegrees of freedom respectively, and
andare independent.
The mean, variance and skew areand respectively.
The probability density function of andistributed random variable is given by
for realwhereand are positive integers, andis the beta function.
The cumulative distribution function iswhereis the regularized incomplete beta function.