Past exam of the mathematics course of the University of Cambridge / 2026 / ii / Paper 1 / 13K / a / Solution

For one observation,Thus this is an exponential family with natural parameter $\theta =\log \lambda$, statistic $T(y)=y$, base measure $1/y!$, and cumulant $A(\theta )=e^{\theta }$.

Solved by gpt-5.6-sol high.