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Let X₁,..., X, be a random sample from an exponential distribution with the probability density function fx (x) = e/, for a > 0, and zero elsewhere. Which statement is correct. (1) X² is a consistent estimator of ². (II) X is a consistent estimator of 3². (III) X(1 + X) is a consistent estimator of 3². (IV) All of the above. 4

Let X₁,..., X, be a random sample from an exponential distribution with the probability density function fx (x) = e/, for a > 0, and zero elsewhere. Which statement is correct. (1) X² is a consistent estimator of ². (II) X is a consistent estimator of 3². (III) X(1 + X) is a consistent estimator of 3². (IV) All of the above. 4

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 be a random sample from an exponential distribution with the probability density function ƒx (2) = e-*/², for x > 0, and zero elsewhere. Which statement is correct. (1) X² is a consistent estimator of 3². (II) X is a consistent estimator of 3². (III) X(1 + X) is a consistent estimator of 32. (IV) All of the above. O (1) (IV) O (III) ☆
Transcribed Image Text:Let X₁, ..., X₂ be a random sample from an exponential distribution with the probability density function ƒx (2) = e-*/², for x > 0, and zero elsewhere. Which statement is correct. (1) X² is a consistent estimator of 3². (II) X is a consistent estimator of 3². (III) X(1 + X) is a consistent estimator of 32. (IV) All of the above. O (1) (IV) O (III) ☆
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