An unknown estimator is given an estimation problem to find the minimizer and maximizer of the objective function G(w) ∈ (0, 3]: (wa, wb) = (arg min w G(w), arg max w G(w)).
The solution to Eq. 1 by the estimator is (wa, wb) = (15, 25). Given this information, please obtain the value of w ∗ such that:
w ∗ = arg min w [10 − 3 × ln(G(w))].