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exchange Fig 1 and 2 for new versions
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Y0dler committed Aug 13, 2024
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2 changes: 1 addition & 1 deletion paper/paper.md
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Expand Up @@ -147,7 +147,7 @@ Starting with single peak models, the normal-shaped model (Figure 1a) requires o
![](./Fig1_model_single_peak.png)
__Figure 1:__ The intensity functions of normal (**a**) and skew normal peak models (**b**) as well as the prior probability distributions of their parameters are shown in the style of a Kruschke diagram [@RN162]. Connections with $\sim$ imply stochastic and with $=$ deterministic relationships. In case of variables with multiple occurrences in one formula, the prior was only connected to one such instance to preserve visual clarity. The variables $M_{i}$ and $O_{i}$ describe mean values and $T_{i}$, $R$, and $S$ standard deviations.

The mean value $\mu$ has a normally distributed prior with the center of the selected time frame $min(t) + \frac{\Delta t}{2}$ as its mean and $\frac{\Delta t}{2}$ as the standard deviation where $\Delta t$ corresponds to the length of the time frame.
The mean value $\mu$ has a normally distributed prior with the center of the selected time frame $\mathrm{min}(t) + \frac{\Delta t}{2}$ as its mean and $\frac{\Delta t}{2}$ as the standard deviation where $\Delta t$ corresponds to the length of the time frame.
Accordingly, the resulting prior is rather compressed and weakly informative.
The prior for the standard deviation of the normal-shaped peak model was defined with a half-normal distribution, once again to avoid values equaling or below 0.
As a half normal distribution only features a standard deviation, this was set to $\frac{\Delta t}{3}$.
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