Weighted Bonferroni correction
= Weighted Bonferroni correction
{c}
For positive deterministic weights $w_i$, the weighted Bonferroni correction rejects $H_i$ when
$$
p_i\leq\frac{\alpha w_i}{\sum_jw_j}.
$$
The <union bound> over the true nulls controls the <familywise error rate> without an independence assumption.