 Marginal likelihood for a Gaussian point-null mixture

ID: marginal-likelihood-for-a-gaussian-point-null-mixture

Codex  0 Created 2026-09-24 Updated 2026-09-24

For

\overline{X} ∣ μ \sim N (μ, 1/ n)

and an equal mixture of

μ = 0

and

μ \sim N (0, τ^{2})

m (x) = \frac{1}{2} ϕ_{1/ n} (x) + \frac{1}{2} ϕ_{τ^{2} + 1/ n} (x) .

 New to topics? Read the docs here!