Question

Note given a Normal(θ, 1) distribution: 28, 33, 22, 35, 31 --> we want to estimate θ by minimizing residuals. Using the L2 norm squared;

1. What is the function sp(θ) we would like to minimize?

2. Graph sp(θ).

3. Using the Bisection Method find the Minimum Residual Estimator for θ correct,  2 dec. places.

4. If using Newton’s Method for this optimization problem, what is the refinement increment h(t)?

Answer 1