SciPy

scipy.special.stdtr

scipy.special.stdtr(df, t) = <ufunc 'stdtr'>

Student t distribution cumulative distribution function

Returns the integral from minus infinity to t of the Student t distribution with df > 0 degrees of freedom:

gamma((df+1)/2)/(sqrt(df*pi)*gamma(df/2)) *
integral((1+x**2/df)**(-df/2-1/2), x=-inf..t)

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