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Please do not leave anything out. Thank you: Xn rightarrow X as n rightarrow + infinity almost
surely if and only if P{w : lim n rightarrow + infinity Xn(w) = X(w)} = 1.
Solution
Ex n tends to Ex as en tends to positive infinity almost surely if and only if P of w :
limit n tends to positive infinity Ex n of w equals Ex of w equals 1

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Please do not leave anything out. Thank you Xn rightarrow X as n ri.pdf

  • 1. Please do not leave anything out. Thank you: Xn rightarrow X as n rightarrow + infinity almost surely if and only if P{w : lim n rightarrow + infinity Xn(w) = X(w)} = 1. Solution Ex n tends to Ex as en tends to positive infinity almost surely if and only if P of w : limit n tends to positive infinity Ex n of w equals Ex of w equals 1