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GU4204: Statistical Inference

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GU4204: Statistical InferenceBodhisattva SenColumbia UniversityFebruary 27, 2020Contents1 Statistical Inference : Motivation . . . . . . . . . . . . . . . . . . . . . Recap: Some results from probability . . . . . . . . . . . . . . . . . . Back to Example . . . . . . . . . . . . . . . . . . . . . . . . . . . Delta method . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Back to Example . . . . . . . . . . . . . . . . . . . . . . . . . . .102 Statistical Inference : Statistical model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Method of Moments estimators . . . . . . . . . . . . . . . . . . . . .133 Method of Maximum Properties of MLEs.

Density of sample mean when n = 10 x Density 0.00 0.05 0.10 0.15 0.20 0.25 0 2 4 6 8 10 12 Density of sample mean when n = 30 x Density 0.04 0.06 0.08 0.10 0.12 0.14 0.16 0.18

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