It is said that a sequence of random variables Z1, Z2,...
Chapter 6, Problem 10(choose chapter or problem)
It is said that a sequence of random variables Z1, Z2,... converges to a constant b in quadratic mean if limn E[(Zn b)2] = 0. (6.2.17) Show that Eq. (6.2.17) is satisfied if and only if limn E(Zn) = b and limn Var(Zn) = 0. Hint: Use Exercise 5 of Sec. 4.3.
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