Not MLE but QMLE

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2025-06-24 10:11:45 +02:00
parent 1941b43d1c
commit ecff3e485a
2 changed files with 2 additions and 2 deletions

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@@ -27664,7 +27664,7 @@ Y_{t} = \mu + Y_{t-1} + \varepsilon_t \quad \text{with} \quad \varepsilon_t = \
<li>We draw <span class="math inline">\(2^{12}= 2048\)</span> trajectories 30 steps ahead</li>
</ul>
<h3 id="estimation">Estimation</h3>
<p>Joint maximum likelihood estimation:</p>
<p>Joint (quasi) maximum likelihood estimation:</p>
<p><span class="math display">\[\begin{align*}
f_{\mathbf{X}_t}(\mathbf{x}_t | \mathcal{F}_{t-1}) = c\left[\mathbf{F}(\mathbf{x}_t;\boldsymbol{\mu}_t, \boldsymbol{\sigma}_{t}^2, \boldsymbol{\nu},
\boldsymbol{\lambda});\Xi_t, \Theta\right] \cdot \\ \prod_{i=1}^K f_{X_{i,t}}(\mathbf{x}_t;\boldsymbol{\mu}_t, \boldsymbol{\sigma}_{t}^2, \boldsymbol{\nu}, \boldsymbol{\lambda})

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@@ -3212,7 +3212,7 @@ $\Lambda(\cdot)$ is a link function:
### Estimation
Joint maximum likelihood estimation:
Joint (quasi) maximum likelihood estimation:
\begin{align*}
f_{\mathbf{X}_t}(\mathbf{x}_t | \mathcal{F}_{t-1}) = c\left[\mathbf{F}(\mathbf{x}_t;\boldsymbol{\mu}_t, \boldsymbol{\sigma}_{t}^2, \boldsymbol{\nu},