Question: Show that the log-likelihood function in (7.3) can be maximized by maximizing the first term as a function of (beta) and the second term as

Show that the log-likelihood function in (7.3) can be maximized by maximizing the first term as a function of $\beta$ and the second term as a function of $\tau$ separately, and find the MLE of $\tau$.

= i=1 nii-n log i=1 exp (B)+(nlog T-T). (7.3)

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