Let X1, X2, ..., X, denote a random sample from the normal distribution with mean u and variance o?. Which of ôi and ô2 are consistent estimators of o?.

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
Section13.3: Special Probability Density Functions
Problem 30E
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Let X1, X2,..., X, denote a random sample from the normal distribution with mean u and
variance o?.
1
E(X; - X)', ô2 =
1
(X1 - X,)°
n- 1
i=1
Which of ô1 and ôg are consistent estimators of o?.
(a) Only ởi
(b) Only ô2
(c) Both ởi and ô2
(d) Neither .
Transcribed Image Text:Let X1, X2,..., X, denote a random sample from the normal distribution with mean u and variance o?. 1 E(X; - X)', ô2 = 1 (X1 - X,)° n- 1 i=1 Which of ô1 and ôg are consistent estimators of o?. (a) Only ởi (b) Only ô2 (c) Both ởi and ô2 (d) Neither .
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