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Q: MLE of $\theta$ from $N(\theta+2, \theta^2)$

Brian LamLet $X_1, X_2, ..., X_n$ be a random sample from $N(\theta+2, \theta^2)$. Find the MLE of $\theta$. I went through some work and I could not solve for $\theta$. Am I doing anything wrong? $$L( \theta )= \prod _ { i = 1 } ^ { n } \frac { 1 } { \theta \sqrt { 2 \pi } } \exp \bigg[- \frac{( x _ { i ...


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