Maximum-likelihood covariance estimator for centered Gaussian data
= Maximum-likelihood covariance estimator for centered Gaussian data
{title2=$\widehat\Sigma$}
For independent $Z_i\sim N_p(0,\Sigma)$ with known zero mean,
$$
\widehat\Sigma=\frac1n\sum_{i=1}^nZ_iZ_i^T.
$$