def log_prior(self, i):
"""Return the probability of `X[i]` under the prior alone."""
mu = self.prior.m_0
covar = (self.prior.k_0 + 1) / (self.prior.k_0*(self.prior.v_0 - self.D + 1)) * self.prior.S_0
logdet_covar = slogdet(covar)[1]
inv_covar = inv(covar)
v = self.prior.v_0 - self.D + 1
return self._multivariate_students_t(i, mu, logdet_covar, inv_covar, v)
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