Estimation

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Contents

• Bhattacharyya Error Exponent and Sample Complexity
• DataProcessing
• DecisionRisk
• ErrorExponents
• ExperimentCost
• Weak Finite Fano Inequality in Nats
• Counting Hypotheses with Uniform Finite Fano
• Estimator-Error Lower Bounds from Finite Fano Inequalities
• Fano’s Method for a Finite Family
• Finite-Family Sample Complexity
• Finite Fano with an Arbitrary Observation Reference
• Sharp Finite Fano Inequality in Nats
• Le Cam’s Two-Point Lemma for Every Finite Test
• The Explicit Test Attaining Le Cam’s Two-Point Bound
• Sample Complexity from Finite Testing-Error Floors
• SequentialDecisionRisk
• Divergence Bounds for Finite Two-Point Testing Error