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# scipy.stats.random_correlation

`scipy.stats.``random_correlation` = <scipy.stats._multivariate.random_correlation_gen object>

  A random correlation matrix.

  Return a random correlation matrix, given a vector of eigenvalues.

  The eigs keyword specifies the eigenvalues of the correlation matrix, and implies the dimension.

  Parameters: | eigs : 1d ndarray Eigenvalues of correlation matrix.

  Notes

  Generates a random correlation matrix following a numerically stable algorithm spelled out by Davies & Higham. This algorithm uses a single O(N) similarity transformation to construct a symmetric positive semi-definite matrix, and applies a series of Givens rotations to scale it to have ones on the diagonal.

  References

  [R628] | Davies, Philip I; Higham, Nicholas J; “Numerically stable generation of correlation matrices and their factors”, BIT 2000, Vol. 40, No. 4, pp. 640 651

  Examples

      >>> from scipy.stats import random_correlation
      >>> np.random.seed(514)
      >>> x = random_correlation.rvs((.5, .8, 1.2, 1.5))
      >>> x
      array([[ 1.        , -0.20387311,  0.18366501, -0.04953711],
             [-0.20387311,  1.        , -0.24351129,  0.06703474],
             [ 0.18366501, -0.24351129,  1.        ,  0.38530195],
             [-0.04953711,  0.06703474,  0.38530195,  1.        ]])

      >>> import scipy.linalg
      >>> e, v = scipy.linalg.eigh(x)
      >>> e
      array([ 0.5,  0.8,  1.2,  1.5])

  Methods

  `rvs(eigs=None, random_state=None)` | Draw random correlation matrices, all with eigenvalues eigs.