Question 4. (Jacod and Protter 20.2) Let (Y/),21 be a sequence of indepen- dent Bernoulli random...

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Question

Question 4. (Jacod and Protter 20.2) Let (Y/),21 be a sequence of indepen- dent Bernoulli random variables, all defined on th

math Statistics-And-Probability

Answer 1

Answer #1

(a)jal ~ Bernoulli(p) y=0,1 for jzi o3pl Y, Y2 Y n are sequence of independent Bernoulli mandom variable TE ) same poob. spa

We use Almost Sure Convergence Test? let {Xn] be a sequence of random variables and let X be a random variable ! Suppose that

E(X) = OP & We have We have 2 x />E) = & P ( X =) Coo - =P Ep() = p <co Hence converges ars. to pa

Answer 2

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