Prove that for a random sample of size n, X, X2 X, taken from a finite population s - (, - i) Σ n i=1 (*) is not unbiased estimator of the parameter o? but n - 1 i=1 is unbiased. - x

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.CR: Chapter 13 Review
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Prove that for a random sample of size n, x ,, X,
X, taken from a finite
1 n
population s? = (x, -7)
is not unbiased estimator of the parameter o?
Σ
X.
n i=1
2
1
Σ
1
but
x.
is unbiased.
n
Transcribed Image Text:Prove that for a random sample of size n, x ,, X, X, taken from a finite 1 n population s? = (x, -7) is not unbiased estimator of the parameter o? Σ X. n i=1 2 1 Σ 1 but x. is unbiased. n
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