theorem A.192 Berry–Esseen

open in the book · appendices/A-long-proofs.tex:9834 · p. 2885

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theorem A.192: Berry–EsseenA.192definition 11.42: Characteristic function11.42definition 11.28: Gaussian distribution11.28equation 11.31: eq:prob-expbound11.31proof : app:A-long-proofs@proof-125prooflemma A.197: The transform is differentiable at the originA.197lemma A.179: Truncation estimateA.179lemma 11.44: Second-order expansion11.44proposition 11.43: Elementary properties11.43proposition 11.81: Density, mean and variance11.81theorem A.168: Lévy's continuity theoremA.168theorem A.177: Fourier inversion for a distribution functionA.177theorem A.183: Lindeberg–FellerA.183theorem 11.45: Lévy's continuity theorem11.45definition 11.20: Density11.20definition A.218: The hypothesesA.218lemma A.226: The level factorA.226lemma A.225: The mean positive partA.225proposition 11.29: Gaussian moments11.29theorem 11.102: Rice's formula11.102lemma A.200: Transform estimateA.200lemma A.185: Total remainderA.185equation 11.32: eq:prob-taylor-truncate11.32

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typedirectionnode provenancewhere
depends_on Characteristic function declared appendices/A-long-proofs.tex:9845
depends_on Gaussian distribution declared appendices/A-long-proofs.tex:9845
depends_on eq:prob-expbound declared appendices/A-long-proofs.tex:9845
proves app:A-long-proofs@proof-125 declared appendices/A-long-proofs.tex:10248