Problem No. 2: Suppose Y₁, Y2₂,,Y, is an iid sample from a population distribution with probability distribution function fy (y) (e-,y>0 0, otherwise The unknown population parameter is 0 > 0. a. Show that -1² is an unbiased estimator of 0. b. Derive the standard error of 6.

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Problem No. 2:
Suppose Y₁, Y2,,Y₁ is an iid sample from a population distribution with probability distribution
function
[¾e-²₁ y > 0
fy (y)
0, otherwise
The unknown population parameter is 0 > 0.
a. Show that
is an unbiased estimator of 0.
b. Derive the standard error of 6.
Transcribed Image Text:Problem No. 2: Suppose Y₁, Y2,,Y₁ is an iid sample from a population distribution with probability distribution function [¾e-²₁ y > 0 fy (y) 0, otherwise The unknown population parameter is 0 > 0. a. Show that is an unbiased estimator of 0. b. Derive the standard error of 6.
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