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ml-recall

#drift-diffusion

1 question from Probabilistic & Graphical Models

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Question 1: Short answer

mediumAI-checkedProbabilistic & Graphical Models

A sequential probability ratio test decides between two hypotheses about i.i.d. measurements: m∼N(+1,σ2)m \sim \mathcal{N}(+1, \sigma^2) or m∼N(−1,σ2)m \sim \mathcal{N}(-1, \sigma^2), with σ=0.5\sigma = 0.5. Each measurement adds its log-likelihood ratio log⁡p(m∣+1)p(m∣−1)\log\frac{p(m \mid +1)}{p(m \mid -1)} to the accumulated evidence. How much evidence does one measurement m=0.3m = 0.3 add?

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