Consider a random variable Zn with the probability distribution (a) Does Zn p 0 as n 1 (b) Calculate E Zn (c) Calculate var Zn (d) Now suppose the distribution is Calculate E Zn (e) Conclude that Zn p 0 as n 1and E Zn 0 are unrelated n Zn 0 n with probability 1 n with probability 1 2 n with probabi...

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Consider a random variable Zn with the probability distribution (a) Does Zn !p 0 as n!1? (b)

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Consider a random variable Zn with the probability distribution

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(a) Does Zn !p 0 as n!1?

(b) Calculate E[Zn] .

(c) Calculate var[Zn] .

(d) Now suppose the distribution is

image text in transcribed

Calculate E[Zn] .

(e) Conclude that Zn !p 0 as n!1and E[Zn]!0 are unrelated.

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Probability And Statistics For Economists

ISBN: 9780691235943

1st Edition

Authors: Bruce Hansen

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Question Posted: Sep 23, 2024 07:00 AM

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Consider a random variable Zn with the probability distribution (a) Does Zn !p 0 as n!1? (b)

Question:

-n Zn = 0 n with probability 1/n with probability 1-2/n with probability 1/n.

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Probability And Statistics For Economists

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