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scipy.special.fdtr

scipy.special.fdtr(dfn, dfd, x) = <ufunc 'fdtr'>

F cumulative distribution function.

Returns the value of the cumulative density function of the F-distribution, also known as Snedecor’s F-distribution or the Fisher-Snedecor distribution.

The F-distribution with parameters dn and dd is the distribution of the random variable,

X=Un/dnUd/dd,

where Un and Ud are random variables distributed χ2, with dn and dd degrees of freedom, respectively.

Parameters:

dfn : array_like

First parameter (positive float).

dfd : array_like

Second parameter (positive float).

x : array_like

Argument (nonnegative float).

Returns:

y : ndarray

The CDF of the F-distribution with parameters dfn and dfd at x.

Notes

The regularized incomplete beta function is used, according to the formula,

F(dn,dd;x)=Ixdn/(dd+xdn)(dn/2,dd/2).

Wrapper for the Cephes [R357] routine fdtr.

References

[R357](1, 2) Cephes Mathematical Functions Library, http://www.netlib.org/cephes/index.html

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