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(2) Let x1, X2 - Xn uª N(4, o2). Find the MLE of ø = (µ, o2), when the parameter space is -o < u < ∞, and o > 0. iid The following `"answers" have been proposed. (a) The MLE of µ and o² are E=1Xi, and ÷ E1 X? respectively. (b) The MLE of µ and o² are Xn, and E=jX; – Xn)² respectively. n-1 (c) The MLE of µ and o² are E-1Xi, and E1X; – Xn)² respectively. (d) The MLE of µ and o² are Xn, and E=1(x¡ – Xn)² respectively. (e) None of the above. The correct answer is (a) (b) (c) (d) (e) N/A

(2) Let x1, X2 - Xn uª N(4, o2). Find the MLE of ø = (µ, o2), when the parameter space is -o < u < ∞, and o > 0. iid The following `"answers" have been proposed. (a) The MLE of µ and o² are E=1Xi, and ÷ E1 X? respectively. (b) The MLE of µ and o² are Xn, and E=jX; – Xn)² respectively. n-1 (c) The MLE of µ and o² are E-1Xi, and E1X; – Xn)² respectively. (d) The MLE of µ and o² are Xn, and E=1(x¡ – Xn)² respectively. (e) None of the above. The correct answer is (a) (b) (c) (d) (e) N/A

MATLAB: An Introduction with Applications
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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MLE: Maximum likelihood estimation

(2) Let x1, X2, .. , Xn "ª N(4, 62). Find the MLE of o = (µ, o²), when the parameter space is -0 < H < ∞, and o > 0. The following`answers" have been proposed. (a) The MLE of µ and o² are E,Xi, and ÷ E-1x? respectively. (b) The MLE of u and o2 are Xn, and E1(X; – Xn)² respectively. (c) The MLE of µ and o2 are E|Xi, and , E-1(X; – Xn)² respectively. n- (d) The MLE of u and o2 are Xn, and E(X¡ – Xn)² respectively. (e) None of the above. The correct answer is (a) (b) (c) (d) (e) N/A (Select One)
Transcribed Image Text:(2) Let x1, X2, .. , Xn "ª N(4, 62). Find the MLE of o = (µ, o²), when the parameter space is -0 < H < ∞, and o > 0. The following`answers" have been proposed. (a) The MLE of µ and o² are E,Xi, and ÷ E-1x? respectively. (b) The MLE of u and o2 are Xn, and E1(X; – Xn)² respectively. (c) The MLE of µ and o2 are E|Xi, and , E-1(X; – Xn)² respectively. n- (d) The MLE of u and o2 are Xn, and E(X¡ – Xn)² respectively. (e) None of the above. The correct answer is (a) (b) (c) (d) (e) N/A (Select One)
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