The mean of 03 (X) is equal to 0. O b. The mean of 03 (X) is equal to ab. O c. Ô3(X) is a biased estimator of 0. O d. Suppose that Var (§,(X)) 62(2n–1) n2 and Varo(02(X)) 202 Then we n-1 can choose the constant a such that the mean squared error of 03 (X) is 62(2n–1) equal to n2 J e. The mean squared error (MSE) of 03 (X) is always strictly larger than the MSE of the other two estimators O f. 03(X) is an unbiased estimator of 0.
The mean of 03 (X) is equal to 0. O b. The mean of 03 (X) is equal to ab. O c. Ô3(X) is a biased estimator of 0. O d. Suppose that Var (§,(X)) 62(2n–1) n2 and Varo(02(X)) 202 Then we n-1 can choose the constant a such that the mean squared error of 03 (X) is 62(2n–1) equal to n2 J e. The mean squared error (MSE) of 03 (X) is always strictly larger than the MSE of the other two estimators O f. 03(X) is an unbiased estimator of 0.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
choose correct options..hand written plz
Transcribed Image Text:Let 01 (X) and 02(X) be two different and independent unbiased estimators of 0.
Consider a number a E R. Let us now introduce an estimator given by a linear
combination of the other two, namely
Ôg(X) := aô, (X) + (1 – a)ê,(X).
Select all correct statements.
(Note that selection of incorrect options may attract small penalties.)
Select one or more:
O a.
The mean of 03(X) is equal to 0.
O b. The mean of 03 (X) is equal to að.
O c. 03(X) is a biased estimator of 0.
Od.
Suppose that Var (ô,(X)) =
can choose the constant a such that the mean squared error of 03(X) is
0(2n–1)
n2
and Varo(@ (X)) = ;
202
Then we
п-1
62(2n–1)
equal to
The mean squared error (MSE) of 03 (X) is always strictly larger than the MSE
of the other two estimators
O f. 03(X) is an unbiased estimator of 0.
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