univariate normal distribution using maximum likelihood estimation: max² Σlog p(x₁;μ, ²). Show that the following terms are the solution to the optimization problem: | AMLE = | Σ1 OLE = (₁ - μMLE)² Show the whole process.

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Assume we are given with N univariate observations 21, 22, ,y to estimate the parameters (μ, ²) of a
univariate normal distribution using maximum likelihood estimation: max.²log p(x; , 0²). Show that
the following terms are the solution to the optimization problem:
| AMLE = Η Σ 1
MLE =
Show the whole process,
(₁ - µMLE)²
Transcribed Image Text:Assume we are given with N univariate observations 21, 22, ,y to estimate the parameters (μ, ²) of a univariate normal distribution using maximum likelihood estimation: max.²log p(x; , 0²). Show that the following terms are the solution to the optimization problem: | AMLE = Η Σ 1 MLE = Show the whole process, (₁ - µMLE)²
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