Question: In the (mathrm{EM}) algorithm for mixture models, if for all univariate Gaussian distributions (Theta_{j}(1 leq j leq) (k), sigma_{j}=sigma), that is, all have the standard

In the $\mathrm{EM}$ algorithm for mixture models, if for all univariate Gaussian distributions $\Theta_{j}(1 \leq j \leq$ $k), \sigma_{j}=\sigma$, that is, all have the standard deviation. Can you simplify the calculation in the E-step and the M-step accordingly?

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