# scipy.special.owens_t

scipy.special.owens_t(h, a, out=None) = <ufunc 'owens_t'>

  Owen’s T Function.

  The function T(h, a) gives the probability of the event (X > h and 0 < Y < a * X) where X and Y are independent standard normal random variables.

  Parameters:
    h: array_like

      Input value.

    a: array_like

      Input value.

    out ndarray, optional

      Optional output array for the function results

  Returns:
    t: scalar or ndarray

      Probability of the event (X > h and 0 < Y < a * X), where X and Y are independent standard normal random variables.

  References

  [1]

  M. Patefield and D. Tandy, “Fast and accurate calculation of Owen’s T Function”, Statistical Software vol. 5, pp. 1-25, 2000.

  Examples

      >>> from scipy import special
      >>> a = 3.5
      >>> h = 0.78
      >>> special.owens_t(h, a)
      0.10877216734852274