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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Matt Franklin: Maybe two small typos in last sentence before Borell's Isope...Matt Franklin: maybe small typo in Remark 11.11 (p. 328 in book): $z \tild...Matt Franklin: Maybe small typo in 2nd line of analysis of "second factor o...Matt Franklin: maybe small typo in 2nd line of establishing (10.24) on p. 3...Ryan O'Donnell: Right, thanks!Ryan O'Donnell: They should, though someone else reported this bug already :...Ryan O'Donnell: I agree it's not extremely clear. I'll see if I can rework ...