def d3logpdf_dlink3(self, link_f, y, Y_metadata=None):
N = y.shape[<NUM_LIT:0>]<EOL>D = link_f.shape[<NUM_LIT:1>]<EOL>d3logpdf_dlink3 = np.zeros((N,D))<EOL>return d3logpdf_dlink3<EOL>
Third order derivative log-likelihood function at y given link(f) w.r.t link(f)

.. math::
    \\frac{d^{3} \\ln p(y_{i}|\\lambda(f_{i}))}{d^{3}\\lambda(f)} = 0

:param link_f: latent variables link(f)
:type link_f: Nx1 array
:param y: data
:type y: Nx1 array
:param Y_metadata: Y_metadata not used in gaussian
:returns: third derivative of log likelihood evaluated at points link(f)
:rtype: Nx1 array