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Update 01-statinference.md
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ssekmen authored Aug 1, 2024
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Expand Up @@ -136,7 +136,7 @@ In these cases, the primary observable $x$ in each channel can be univariate or

$$p(x;\vec{\mu}, \vec{\nu}) = \sum_p \frac{\lambda_p(\vec{\mu},\vec{\nu}) f_p(x; \vec{\mu}, \vec{\nu})}{\sum_p \lambda_p(\vec{\mu}, \vec{\nu})}$$

Here $p$ stands for process and $f_p(x; \vec{\mu}, \vec{\nu})$ are the probability distribution functions for each process. The figure below shows an example, where sigma and alpha are the uncertainties on parameters of the analytic function.
Here $p$ stands for process and $f_p(x; \vec{\mu}, \vec{\nu})$ are the probability density functions for each process. The figure below shows an example, where sigma and alpha are the uncertainties on parameters of the analytic function.

![Plot showing a parametric shape model with uncertainties](fig/parametric_shape_analysis.png){width="50%"}

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[image missing alt-text]: fig/parametric_shape_analysis.png

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