EXERCISE In Example A we showed that if X₁, X2,..., Xn constitute a random sample from a n+1 Yn is an unbiased estimator of B. uniform population with a = 0, then n (a) Show that 2X is also an unbiased estimator of ß. (b) Compare the efficiency of these two estimators of B.

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EXERCISE
✓
In Example A we showed that if X₁, X2,..., Xn constitute a random sample from a
Yn is an unbiased estimator of B.
n+1
uniform population with a = 0, then
(a) Show that 2X is also an unbiased estimator of B.
(b) Compare the efficiency of these two estimators of B.
al show that ză is also an un biased estimater of B
According to the properties of sample
mean
1-8× = M
2- var(x) = 6
population
wher Mis the
n
mean
Dr. Asieh Abtahi - Faculty of Mathematics and Statistics -
Islamic Azad University of Shiraz - Iran
of population
and o? is the variance
20
51
[F
Transcribed Image Text:EXERCISE ✓ In Example A we showed that if X₁, X2,..., Xn constitute a random sample from a Yn is an unbiased estimator of B. n+1 uniform population with a = 0, then (a) Show that 2X is also an unbiased estimator of B. (b) Compare the efficiency of these two estimators of B. al show that ză is also an un biased estimater of B According to the properties of sample mean 1-8× = M 2- var(x) = 6 population wher Mis the n mean Dr. Asieh Abtahi - Faculty of Mathematics and Statistics - Islamic Azad University of Shiraz - Iran of population and o? is the variance 20 51 [F
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