# scipy.special.bdtrc

scipy.special.bdtrc(k, n, p) = <ufunc 'bdtrc'>

  Binomial distribution survival function.

  Sum of the terms floor(k) + 1 through n of the binomial probability density,

  \[\mathrm{bdtrc}(k, n, p) = \sum_{j=\lfloor k \rfloor +1}^n {{n}\choose{j}} p^j (1-p)^{n-j}\]
  Parameters
    k array_like

      Number of successes (double), rounded down to nearest integer.

    n array_like

      Number of events (int)

    p array_like

      Probability of success in a single event.

  Returns
    y ndarray

      Probability of floor(k) + 1 or more successes in n independent events with success probabilities of p.

  See also

  `bdtr`
  `betainc`

  Notes

  The terms are not summed directly; instead the regularized incomplete beta function is employed, according to the formula,

  \[\mathrm{bdtrc}(k, n, p) = I_{p}(\lfloor k \rfloor + 1, n - \lfloor k \rfloor).\]

  Wrapper for the Cephes [1] routine `bdtrc`.

  References

  1

    Cephes Mathematical Functions Library, http://www.netlib.org/cephes/

scipy.special.bdtr scipy.special.bdtri