 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2026/ii/paper-1/29l/d/solution

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

Write

X_{i} = θ + E_{i}

with independent rate-one exponentials. Their minimum is exponential of rate

n

, so

n (θ_{n} - θ) \sim Exp (1)

for every

n

. Thus

α = 1

and the nondegenerate limit is rate-one exponential.

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