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
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
Problem 43CR
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd1cb78dc-adef-4d71-b927-0e9d58136169%2Fad108e62-f877-4134-b4ed-dfebf18d15eb%2Fn5ynw8k_processed.jpeg&w=3840&q=75)
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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