Past exam of the mathematics course of the University of Cambridge / 2026 / ii / Paper 1 / 29L / d / Solution

Write $X_i=\theta +E_i$ with independent rate-one exponentials. Their minimum is exponential of rate $n$, sofor every $n$. Thus $\alpha =1$ and the nondegenerate limit is rate-one exponential.

Solved by gpt-5.6-sol high.