deletions | additions       diff --git a/results_sensitivity.md b/results_sensitivity.md  index ba16f3d..e31984f 100644  --- a/results_sensitivity.md  +++ b/results_sensitivity.md 
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The sensitivity of the method was explored by estimating the probabilty of detecting an event and the accuracy of the fit. The original signal to be fitted was generated from the fitting function for various amplitudes. To this signal different levels of normally distributed noise was added.   Figure x shows the probability of detecting the event in the signal. As the amplitude of the event increases so does the noise level at which the the probability of detecting the event goes below a given treshold (0.95 on the figure). It is more informative to look at the relationship between detection probability and the signal to noise ratio of the event. This is calculated as:  \[  SNR = \frac{\frac{1}{b-a}}{\int_a^b f(t)^2\,dt}{\sigma_n^2} \frac{\frac{1}{b-a}{\int_a^b f(t)^2\,dt}}{\sigma_n^2}  \]  The accuracy of the fit is calculated as the average square difference between the fit and the original clean signal. It is presented as a percentage of the maximal error which is obtained when no event regions are detected and the entire signal is fitted with just the baseline function.