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Inferential Statisticshard
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In the context of the Bahadur-Rao theorem, what is the asymptotic rate of the tail probability P(Sn≥na)P(S_n \geq na)P(Sn​≥na) where Sn=∑XiS_n = \sum X_iSn​=∑Xi​ and E[Xi]=μ<aE[X_i] = \mu < aE[Xi​]=μ<a?