Past exam of the mathematics course of the University of Cambridge / 2019 / iii / Paper 207 / 1 / e

Table of contents
- Solution e

Solution

Use the deterministic evidence-synthesis relation

π_{2} = π_{1} + λ,

with support

T = {(π_{1}, λ) : π_{1} \geq 0, λ \geq 0, π_{1} + λ \leq 1} .

A uniform prior on this triangle has density

2 1_{T}

. Conditional on the prevalences, model the independent surveys by

Y_{S 1} \sim Binomial (n_{S 1}, π_{1}), Y_{S 2} \sim Binomial (n_{S 2}, π_{2}),

with the two counts conditionally independent and

π_{2} = π_{1} + λ

.

 Ancestors (10)

 View article source

 Discussion (0)

There are no discussions about this article yet.

 Articles by others on the same topic (0)

There are currently no matching articles.

  See all articles in the same topic Create my own version