5.47 1 Determine whether = ½½ (x-x)² or = i=1 n 1 n+1/2 (x)² has lower mean squared error when estimating o2 when x1,..., 10 are iid normal random variables with mean 0 and variance 4.

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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5.47
Determine whether = 1½-1 (xx)² or
=
n+1/2 i=1
(-) has lower mean squared
error when estimating σ2 when x1,..., 10 are iid normal random variables with mean 0 and variance 4.
Transcribed Image Text:5.47 Determine whether = 1½-1 (xx)² or = n+1/2 i=1 (-) has lower mean squared error when estimating σ2 when x1,..., 10 are iid normal random variables with mean 0 and variance 4.
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