lemma A.197 The transform is differentiable at the origin

open in the book · appendices/A-long-proofs.tex:10013 · p. 2887

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lemma A.197: The transform is differentiable at the originA.197definition 11.42: Characteristic function11.42equation 11.31: eq:prob-expbound11.31proof : app:A-long-proofs@proof-121prooflemma A.179: Truncation estimateA.179lemma 11.44: Second-order expansion11.44proposition 11.43: Elementary properties11.43proposition 11.81: Density, mean and variance11.81theorem A.192: Berry–EsseenA.192theorem 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 theorem11.45lemma A.200: Transform estimateA.200lemma A.185: Total remainderA.185equation 11.32: eq:prob-taylor-truncate11.32

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depends_on Characteristic function declared appendices/A-long-proofs.tex:10018
depends_on eq:prob-expbound declared appendices/A-long-proofs.tex:10018
proves app:A-long-proofs@proof-121 declared appendices/A-long-proofs.tex:10021