Let Y 1 , Y 2 , Y 3 , be a sequence of i i d random variables with mean EY i and finite variance Var(Y i ) 2 Define the sequence X n ,n 2, 3, as Xn YY2 Y2Y3 Yn 1Yn YY Show that X n for n 2,3, ...

Surebased on the information you providedthe image shows the following definition for the sequence Xn Xn Y1Y2 Y2Y3 Yn1Yn YnY1 for n 2 3 HereY1Y2Y3are ...

Let Y 1 , Y 2 , Y 3 , be a sequence of i.i.d. random

Question:

Let Y₁, Y₂, Y₃, ⋯ be a sequence of i.i.d. random variables with mean EY_i = μ and finite variance Var(Y_i) = σ². Define the sequence {X_n,n = 2, 3, . . . } as Xn = YY2 + Y2Y3+ Yn-1Yn + YY . Show that X n for n = 2,3,.