Theory Of Point Estimation Solution Manual May 2026

Suppose we have a sample of size $n$ from a normal distribution with mean $\mu$ and variance $\sigma^2$. Find the MLE of $\mu$ and $\sigma^2$.

$$L(\lambda) = \prod_{i=1}^{n} \frac{\lambda^{x_i} e^{-\lambda}}{x_i!}$$ theory of point estimation solution manual

Solving this equation, we get:

$$\hat{\sigma}^2 = \frac{1}{n} \sum_{i=1}^{n} (x_i-\bar{x})^2$$ Suppose we have a sample of size $n$