`scipy.stats._continuous_distns:f_gen`

source: /scipy/stats/_continuous_distns.py :2524

Signature

   class     f_gen (    momtype    =  1   ,    a    =  None   ,    b    =  None   ,    xtol    =  1e-14   ,    badvalue    =  None   ,    name    =  None   ,    longname    =  None   ,    shapes    =  None   ,    seed    =  None     )

Members

Summary

An F continuous random variable.

Extended Summary

For the noncentral F distribution, see ncf.

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Notes

The F distribution with $d f_{1} > 0$ and $d f_{2} > 0$ degrees of freedom is the distribution of the ratio of two independent chi-squared distributions with $d f_{1}$ and $d f_{2}$ degrees of freedom, after rescaling by $d f_{2} / d f_{1}$ .

The probability density function for f is:

f (x, d f_{1}, d f_{2}) = \frac{d f _{2}^{d f_{2} /2} d f _{1}^{d f_{1} /2} x ^{d f_{1} /2 - 1}}{( d f _{2} + d f _{1} x ) ^{(d f_{1} + d f_{2}) /2} B ( d f _{1} /2 , d f _{2} /2 )}

for $x > 0$ .

f accepts shape parameters dfn and dfd for $d f_{1}$ , the degrees of freedom of the chi-squared distribution in the numerator, and $d f_{2}$ , the degrees of freedom of the chi-squared distribution in the denominator, respectively.

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Aliases

scipy.stats._continuous_distns.f_gen