Tslatex Rayanne Lenox -

\beginproof This follows from solving $\frac\partial \ell\partial \sigma^2=0$ using \eqrefeq:loglik. \endproof

\subsectionPart (c): Variance estimator \beginalign \hat\sigma^2_MLE = \frac1n\sum_i=1^n (y_i - \bary)^2 \endalign

\sectionMaximum Likelihood Estimation

\subsectionPart (b): First-order conditions Taking the derivative w.r.t. $\mu$:

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