[Steps Shown] Let 0 ≤q X_1 ≤q X_2 ≤q ... be r.v.'s such that E X_n ~ a n^alpha and var;(X_n) ≤q B n^beta, where
Question:
Let \(0 \leq X_{1} \leq X_{2} \leq \ldots\) be r.v.'s such that \(E X_{n} \sim a n^{\alpha}\) and \(\operatorname{var}\left(X_{n}\right) \leq B n^{\beta}\), where \(0
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(Solved) Prove that the following are equivalent. X_n \rightarrow
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[Step-by-Step] Prove the deterministic lemma we used in the proof of
![[See] Let (X_i) be independent, S_n=∑_i=1^n X_i,](/images/solutions/MC-solution-library-69386.jpg "[See] Let (X_i) be independent, S_n=∑_i=1^n X_i, S_n^*=max")
[See] Let (X_i) be independent, S_n=∑_i=1^n X_i, S_n^*=max
![[Solved] In the setting of the previous](/images/solutions/MC-solution-library-69387.jpg "[Solved] In the setting of the previous question, prove if lim")
[Solved] In the setting of the previous question, prove if lim
![[Step-by-Step] Let (X_i) be i.i.d. taking values](/images/solutions/MC-solution-library-69388.jpg "[Step-by-Step] Let (X_i) be i.i.d. taking values in -1,1,3,7,15,")
[Step-by-Step] Let (X_i) be i.i.d. taking values in -1,1,3,7,15,
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