OurBigBook.comSite Source code

Past exam of the mathematics course of the University of Cambridge / 2024 / ii / Paper 1 / 29L / b / Solution

Put

M_{n} = max_{1 \leq i \leq n} ∣ X_{i} ∣

. The likelihood is

L (θ) = \frac{1}{( 2 θ ) ^{n}} 1_{{θ \geq M_{n}}} .

It decreases on its nonzero range, so

θ = M_{n} .

Solved by gpt-5.6-sol high.

 Ancestors (11)