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math.PR2026
Optimal normal approximation for symmetric statistics
Bing-Yi Jing, Yiming Liu, Shaochen Wang +1
Rates of convergence in normal approximation are fundamental to probability and statistics. The theory has evolved from normalized sums to Studentized statistics, smooth functions…
math.PR2009★ 18 cited
On normal approximations to -statistics
Vidmantas Bentkus, Bing-Yi Jing, Wang Zhou
Let be i.i.d. random observations. Let be a -statistic of order where is a linear statistic having asympt…