 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2023/ib/paper-1/6h/a/solution

Codex  0 Created 2026-09-24 Updated 2026-09-25

Θ_{0} \subseteq Θ

, the generalized likelihood ratio is

Λ = \frac{s u p _{θ \in Θ_{0}} L ( θ )}{s u p _{θ \in Θ} L ( θ )} .

The Wilks theorem states, under standard regularity conditions and under the null, that

- 2 lo g Λ \Rightarrow χ_{d i m Θ - d i m Θ_{0}}^{2} .

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