In the N(θ , 1) setup, consider the hypotheses Let be a prior that has mass point at 0 and a pdf Similarly, let be a folded distribution over (0,∞) and 2(θ) be a folded N(0, γ2) distribution...

In the N(θ , 1) setup, consider the hypotheses

Let

be a prior that has mass point

at 0 and a pdf

Similarly, let

be a folded

distribution over (0,∞) and 2(θ) be a folded N(0, γ₂) distribution over (−∞, 0). Work out the Bayes test in (4.4.15).