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(a) What is the method of moments estimate of 0?

(a) What is the method of moments estimate of 0?

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
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3. Suppose that X is a discrete random variable with the following probability mass function where 0 <0 <1 is a parameter: X 1 P(X) 20/3 0/3 2(1 – 0)/3 (1 – 0)/3 The following 10 independent observations were taken from such a distribution: (3,0, 2,1, 3, 2, 1,0, 2, 1). (a) What is the method of moments estimate of 0? The theoretical mean is: 3 E(X)Σap (). r=0 20 +1x 3 2(1 – 0) + 3 x 3 (1 – 0) = 0 x + 2 x 3 = 7/3 – 20 %3D
Transcribed Image Text:3. Suppose that X is a discrete random variable with the following probability mass function where 0 <0 <1 is a parameter: X 1 P(X) 20/3 0/3 2(1 – 0)/3 (1 – 0)/3 The following 10 independent observations were taken from such a distribution: (3,0, 2,1, 3, 2, 1,0, 2, 1). (a) What is the method of moments estimate of 0? The theoretical mean is: 3 E(X)Σap (). r=0 20 +1x 3 2(1 – 0) + 3 x 3 (1 – 0) = 0 x + 2 x 3 = 7/3 – 20 %3D
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