
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Transcribed Image Text:Suppose that X is a discrete random variable with
P(X = 0) :
P(X = 1)
%3D
P(X = 2)
(1 – )
||
P(X = 3) = (1– 0),
where 0 <0 < 1 is the parameter of interest. The following 10 independent observations were taken
from such a distribution: (3,0, 2, 1, 3, 2, 1, 0, 2, 1).
a)
Find the method of moments estimator and estimate of 0.
b)
Find an approximate standard error for your estimate.
c)
Find the maximum likelihood estimate of 0.
N 3112 2/3
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