 Posterior probability of a Gaussian point null

ID: posterior-probability-of-a-gaussian-point-null

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

For the equal point-null mixture,

P (μ = 0 ∣ \overline{X} = x) = [1 + \frac{1}{1 + n τ ^{2}} exp (\frac{n ^{2} τ ^{2} x ^{2}}{2 ( 1 + n τ ^{2} )})]^{- 1} .

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