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Let X₁, X₂,..., Xn be a random sample from an exponential distribution with the pdf f(x; 3) = ¹e/³, for 0 < x < ∞, and zero otherwise. Which statement is correct? 1-x/B (1) 3 = is an efficient estimator of 3, whose variance achieves the lower bound of the Cramer-Rao Inequality which is (II) 3 = X is an efficient estimator whose variance achieves the lower bound of the Cramer-Rao Inequality which is (III) 3 = X is an efficient estimator whose variance achieves the lower bound of the B² Cramer-Rao Inequality which is 1 (IV) 3 = is an efficient estimator whose variance achieves the lower bound of the Cramer-Rao Inequality which is n

Let X₁, X₂,..., Xn be a random sample from an exponential distribution with the pdf f(x; 3) = ¹e/³, for 0 < x < ∞, and zero otherwise. Which statement is correct? 1-x/B (1) 3 = is an efficient estimator of 3, whose variance achieves the lower bound of the Cramer-Rao Inequality which is (II) 3 = X is an efficient estimator whose variance achieves the lower bound of the Cramer-Rao Inequality which is (III) 3 = X is an efficient estimator whose variance achieves the lower bound of the B² Cramer-Rao Inequality which is 1 (IV) 3 = is an efficient estimator whose variance achieves the lower bound of the Cramer-Rao Inequality which is n

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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Let X₁, X₂,..., Xn be a random sample from an exponential distribution with the pdf ƒ(x; ß) = ¹⁄e¯ª/³, for 0 < x <∞, and zero otherwise. Which statement is correct? X (1) 8 = is an efficient estimator of ß, whose variance achieves the lower bound of the Cramer-Rao Inequality which is n (II) 3 = X is an efficient estimator whose variance achieves the lower bound of the Cramer-Rao Inequality which is (III) = X is an efficient estimator whose variance achieves the lower bound of the Cramer-Rao Inequality which is n (IV) O (IV) Cramer-Rao Inequality which is O (III) 1 X O (II) O (1) is an efficient estimator whose variance achieves the lower bound of the B
Transcribed Image Text:Let X₁, X₂,..., Xn be a random sample from an exponential distribution with the pdf ƒ(x; ß) = ¹⁄e¯ª/³, for 0 < x <∞, and zero otherwise. Which statement is correct? X (1) 8 = is an efficient estimator of ß, whose variance achieves the lower bound of the Cramer-Rao Inequality which is n (II) 3 = X is an efficient estimator whose variance achieves the lower bound of the Cramer-Rao Inequality which is (III) = X is an efficient estimator whose variance achieves the lower bound of the Cramer-Rao Inequality which is n (IV) O (IV) Cramer-Rao Inequality which is O (III) 1 X O (II) O (1) is an efficient estimator whose variance achieves the lower bound of the B
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