Let X1,..., Xn be a random sample from a uni form(0,0 + 1). Let 01 = X – 0.5 and 02 = max(X1,..., Xn) - be two n+1 unbiased estimators for 0. Which one can be chosen as the best estimator of 0?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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8

Let X1,..., Xn be a random sample from
a uni form(0, 0 + 1). Let
6, = X – 0.5 and
= max(X1,..., X)- be two
n+1
unbiased estimators for 0. Which one can be
chosen as the best estimator of 0?
none
O 02
both; 01 and 02
Transcribed Image Text:Let X1,..., Xn be a random sample from a uni form(0, 0 + 1). Let 6, = X – 0.5 and = max(X1,..., X)- be two n+1 unbiased estimators for 0. Which one can be chosen as the best estimator of 0? none O 02 both; 01 and 02
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