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Update unobserved_components.jl documentation
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guilhermebodin authored Nov 9, 2023
1 parent bca817f commit 88883e0
Showing 1 changed file with 2 additions and 2 deletions.
4 changes: 2 additions & 2 deletions src/models/unobserved_components.jl
Original file line number Diff line number Diff line change
Expand Up @@ -165,7 +165,7 @@ string: `"local linear trend"`
```math
\begin{gather*}
\begin{aligned}
y_{t} &= \mu_{t} + \gamma_{t} + \varepsilon_{t} \quad &\varepsilon_{t} \sim \mathcal{N}(0, \sigma^2_{\varepsilon})\\
y_{t} &= \mu_{t} + \varepsilon_{t} \quad &\varepsilon_{t} \sim \mathcal{N}(0, \sigma^2_{\varepsilon})\\
\mu_{t+1} &= \mu_{t} + \nu_{t} + \xi_{t} \quad &\xi_{t} \sim \mathcal{N}(0, \sigma^2_{\xi})\\
\nu_{t+1} &= \nu_{t} + \zeta_{t} \quad &\zeta_{t} \sim \mathcal{N}(0, \sigma^2_{\zeta})\\
\end{aligned}
Expand All @@ -177,7 +177,7 @@ string: `"smooth trend"`
```math
\begin{gather*}
\begin{aligned}
y_{t} &= \mu_{t} + \gamma_{t} + \varepsilon_{t} \quad &\varepsilon_{t} \sim \mathcal{N}(0, \sigma^2_{\varepsilon})\\
y_{t} &= \mu_{t} + \varepsilon_{t} \quad &\varepsilon_{t} \sim \mathcal{N}(0, \sigma^2_{\varepsilon})\\
\mu_{t+1} &= \mu_{t} + \nu_{t}\\
\nu_{t+1} &= \nu_{t} + \zeta_{t} \quad &\zeta_{t} \sim \mathcal{N}(0, \sigma^2_{\zeta})\\
\end{aligned}
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