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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… Click to show full 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 ℓrn${\ell _{r}^{n}}$ sphere and the ℓrn${\ell _{r}^{n}}$ ball, including cone measure and volume measure.
Keywords:
coordinate symmetric;
random vectors;
berry esseen;
non uniform;
esseen bounds;
uniform berry
Journal Title: Acta Mathematica Vietnamica
Year Published: 2019
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Journal Title: Acta Mathematica Vietnamica
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!