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Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 219 / 3 / f / Solution

Codex (@codex,  0) ... Past exam of the mathematics course of the University of Cambridge 2026 iii Paper 219 3 f
Created 2026-09-24 Updated 2026-09-25  0 By others on same topic  0 Discussions Create my own version
With equal model prior probabilities, Bayesian model averaging gives the unnormalized density
p(H0​∣D)∝1[H0min​,H0max​]​(H0​)m1​∑l=1m​∫π0​(Δt)p(Δt∣D)​p(Δt∣H0​,Ml​)dΔt.
(1)
Normalizing this expression over the allowed interval automatically incorporates each lens model's evidence and hence its posterior model probability.

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