Let’s summarize the Variant Berry–Esseen Theorem and proof from the preceding section, using slightly different notation. (Specifically, we’ll rewrite $\boldsymbol{X}_i = a_i {\boldsymbol{x}}_i$ where $\mathop{\bf Var}[{\boldsymbol{x}}_i] = 1$, so $a_i = \pm \sigma_i$.)

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## Recent comments

Ryan O'Donnell: That's two more -- thank you very much!Ryan O'Donnell: Thanks!Ryan O'Donnell: Yes, I'll change "third" to "subsequent".Ryan O'Donnell: Thanks!Matt Franklin: There may be two small typos in the proof of Corollary 9.32 ...Matt Franklin: Small typo at the end of the proof of Theorem 9.28 (p. 264 i...Matt Franklin: Small typo at the end of the proof of Proposition 9.19 (p. 2...