Let {XnYn=1∞ te a sequence of independent zandom vatiables such that X1=0 and for any n>2P(Xn=n)=2nlog(n)1, P(Xn=−
Posted: Wed Jul 13, 2022 5:08 am
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Let {XnYn=1∞ te a sequence of independent zandom vatiables such that X1=0 and for any n>2P(Xn=n)=2nlog(n)1, P(Xn=−n)=2nlog(n)1,P(Xn=0)=1−nlog(n)1,letSn=n1(Xn+X2+⋯+Xn) 2. Caloulate P(n→∞limSn=0)
Let {XnYn=1∞ te a sequence of independent zandom vatiables such that X1=0 and for any n>2P(Xn=n)=2nlog(n)1, P(Xn=−n)=2nlog(n)1,P(Xn=0)=1−nlog(n)1,letSn=n1(Xn+X2+⋯+Xn) 2. Caloulate P(n→∞limSn=0)