diff --git a/paper/Fig1_model_single_peak.png b/paper/Fig1_model_single_peak.png index 899b446..82b9a1b 100644 Binary files a/paper/Fig1_model_single_peak.png and b/paper/Fig1_model_single_peak.png differ diff --git a/paper/Fig2_model_double_peak.png b/paper/Fig2_model_double_peak.png index 7ec4918..de6507e 100644 Binary files a/paper/Fig2_model_double_peak.png and b/paper/Fig2_model_double_peak.png differ diff --git a/paper/paper.md b/paper/paper.md index e36d7cb..8834626 100644 --- a/paper/paper.md +++ b/paper/paper.md @@ -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 $\frac{\Delta t}{3}$.