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for questions involving inequalities, upper and lower bounds.
3
votes
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answers
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Control the variance of some coincidence statistic
Let $X = X_1, \cdots, X_m \sim D_d$ a sample of size $m$ from a $[d]$-supported distribution.
Let $$K_1 = K_1(X_1, \cdots, X_m) = \sum_{i = 1}^{d} \unicode{x1D7D9}\{B_i = 1\}$$ with $$B_i = B_i(X_1, …