 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2026/ii/paper-2/29l/b/solution

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

It is inadmissible. For

c X_{(n)}

, the risk is

c^{2} n / (n + 2) - 2 c n / (n + 1) + 1

, minimized by

c = (n + 2) / (n + 1)

with risk

1/ (n + 1)^{2}

, strictly smaller for every

θ

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