We know that X is an unknown distribution with a mean of u and a variance Xị are i.i.d. e

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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We know that X is an unknown distribution with a mean of u and a variance of o²,
Xị are i.i.d.
1
And then we construct a û
(Xn-1) + (Xn + Xn-1)“
= -
4
4
i)
To show that û is not consistent for u.
ii)
To get Var(û) then talk about the efficiency of û.
Transcribed Image Text:We know that X is an unknown distribution with a mean of u and a variance of o², Xị are i.i.d. 1 And then we construct a û (Xn-1) + (Xn + Xn-1)“ = - 4 4 i) To show that û is not consistent for u. ii) To get Var(û) then talk about the efficiency of û.
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