Using your answer for (0, ²) from part #2, maximize the log-likelihood function w.r.t. 0, o to derive the maximum likelihood estimators OMLE, ² MLE = arg max (0₂0²) 0,0

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Using your answer for l(0, 0²) from part #2, maximize the log-likelihood function w.r.t. 0, σ² to
derive the maximum likelihood estimators
OMLE, ²MLE= arg max (0,0²)
0,0
Transcribed Image Text:Using your answer for l(0, 0²) from part #2, maximize the log-likelihood function w.r.t. 0, σ² to derive the maximum likelihood estimators OMLE, ²MLE= arg max (0,0²) 0,0
Let be an unknown population parameter associated with the collection of observations
(X₁,Y₁), (X2, Y₂), ..., (Xn, Yn)
iid
where, for €1, €2,..., En ~ N(0,0²),
Y₁ = 3X₁ + €₁,
for i=1,2,..., n.
This similar to the regression model we examined in class, but without the intercept term
In this question, we are going to derive the regression estimator for the model, using the same
approach from the lecture.
Transcribed Image Text:Let be an unknown population parameter associated with the collection of observations (X₁,Y₁), (X2, Y₂), ..., (Xn, Yn) iid where, for €1, €2,..., En ~ N(0,0²), Y₁ = 3X₁ + €₁, for i=1,2,..., n. This similar to the regression model we examined in class, but without the intercept term In this question, we are going to derive the regression estimator for the model, using the same approach from the lecture.
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