Y,, Y2, .. Yn are n id observations from Y~UNIF(0,0) For this problem assume n is always an odd integer. Given information: If n is odd and M = the median of n iid observations from UNIF(0,0), then E(M) = %3D 02 V(M): 4(n+2)

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Question 4.1
Y,,Y, . Yn are n iid observations from Y~UNIF(0,0)
For this problem assume n is always an odd integer.
Given information:
If n is odd and M = the median of n iid observations from Unif(0,0), then
E(M) =
02
V(M)
4(n+2)
4.1.a
Define an estimator for e that is unbiased and a function of M. Name it ô,. Find
E(ê,) and Var(ê,)
Transcribed Image Text:Question 4.1 Y,,Y, . Yn are n iid observations from Y~UNIF(0,0) For this problem assume n is always an odd integer. Given information: If n is odd and M = the median of n iid observations from Unif(0,0), then E(M) = 02 V(M) 4(n+2) 4.1.a Define an estimator for e that is unbiased and a function of M. Name it ô,. Find E(ê,) and Var(ê,)
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