Abstract
This work establishes the nonuniform Berry-Esseen inequality for coordinate symmetric vectors. The nonuniform Lp (p ≥ 1) bound is also established. The main results are applied to projections of random vectors distributed according to a family of measures on the ${\ell _{r}^{n}}$ sphere and the ${\ell _{r}^{n}}$ ball, including cone measure and volume measure.
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