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chapters/2.1.1_fundamental_distributions/index.html

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@@ -1275,7 +1275,7 @@ <h4 id="multivariate-normal-distribution">Multivariate normal distribution<a cla
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</ul>
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<h4 id="histfactory-distribution">HistFactory distribution<a class="headerlink" href="#histfactory-distribution" title="Permanent link">&para;</a></h4>
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<p>HistFactory [^hf] is a language to describe statistical models consisting only of "histograms" (which is used interchangeably with "step-functions" in this context). Each HistFactory distribution describes one "channel" or "region" of a binned measurement, containing a stack of "samples", i. e.&nbsp;binned distributions sharing the same binning (step-functions describing the signal or background of a measurement). Such a HistFactory model is shown in Figure <a href="#fig:hf-example" reference="fig:hf-example" reference-type="ref">1</a> (originally from [^atlashzz]). Each of the contributions may be subject to <code>modifiers</code>. </p>
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<p><img alt="A binned statistical model describing a High Energy Physics measurement, in this case of the \(H\rightarrow 4l\) process by the ATLAS collaboration. Three different sample (blue, red, violet) are considered." id="fig:hf-example" src="/images/hf-example.pdf" width=".6\%" /> </p>
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<p><img alt="A binned statistical model describing a High Energy Physics measurement, in this case of the \(H\rightarrow 4l\) process by the ATLAS collaboration. Three different sample (blue, red, violet) are considered." id="fig:hf-example" src="/images/hf-example.png" width=".6\%" /> </p>
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<p>The prediction for a binned region is given as </p>
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<div class="arithmatex">\[
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\begin{aligned} \lambda(x)=\sum_{s\in\text{samples}} \left[ \left( d_s(x) + \sum_{\delta\in M_{\delta}} \delta(x,\theta_\delta) \right) \prod_{\kappa\in M_\kappa} \kappa(x,\theta_\kappa) \right] \end{aligned}

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images/hf-example.png

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index.html

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<title>HS<sup>3</sup> v0.2.9 - HEP Statistics Serialization Standard (HS3)</title>
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<title>HS3 - HEP Statistics Serialization Standard (HS3)</title>
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<div class="md-header__topic" data-md-component="header-topic">
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<span class="md-ellipsis">
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HS<sup>3</sup> v0.2.9
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HS3
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</span>
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</div>
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</ul>
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<h4 id="histfactory-distribution">HistFactory distribution<a class="headerlink" href="#histfactory-distribution" title="Permanent link">&para;</a></h4>
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<p>HistFactory <sup id="fnref:hf"><a class="footnote-ref" href="#fn:hf">11</a></sup> is a language to describe statistical models consisting only of "histograms" (which is used interchangeably with "step-functions" in this context). Each HistFactory distribution describes one "channel" or "region" of a binned measurement, containing a stack of "samples", i. e.&nbsp;binned distributions sharing the same binning (step-functions describing the signal or background of a measurement). Such a HistFactory model is shown in Figure <a href="#fig:hf-example" reference="fig:hf-example" reference-type="ref">1</a> (originally from <sup id="fnref:atlashzz"><a class="footnote-ref" href="#fn:atlashzz">12</a></sup>). Each of the contributions may be subject to <code>modifiers</code>. </p>
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<p><img alt="A binned statistical model describing a High Energy Physics measurement, in this case of the \(H\rightarrow 4l\) process by the ATLAS collaboration. Three different sample (blue, red, violet) are considered." id="fig:hf-example" src="/images/hf-example.pdf" width=".6\%" /> </p>
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<p><img alt="A binned statistical model describing a High Energy Physics measurement, in this case of the \(H\rightarrow 4l\) process by the ATLAS collaboration. Three different sample (blue, red, violet) are considered." id="fig:hf-example" src="/images/hf-example.png" width=".6\%" /> </p>
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<p>The prediction for a binned region is given as </p>
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<div class="arithmatex">\[
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\begin{aligned} \lambda(x)=\sum_{s\in\text{samples}} \left[ \left( d_s(x) + \sum_{\delta\in M_{\delta}} \delta(x,\theta_\delta) \right) \prod_{\kappa\in M_\kappa} \kappa(x,\theta_\kappa) \right] \end{aligned}

parts/histfactory/index.html

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<h1>Histfactory</h1>
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<p>HistFactory [^hf] is a language to describe statistical models consisting only of "histograms" (which is used interchangeably with "step-functions" in this context). Each HistFactory distribution describes one "channel" or "region" of a binned measurement, containing a stack of "samples", i. e.&nbsp;binned distributions sharing the same binning (step-functions describing the signal or background of a measurement). Such a HistFactory model is shown in Figure <a href="#fig:hf-example" reference="fig:hf-example" reference-type="ref">1</a> (originally from [^atlashzz]). Each of the contributions may be subject to <code>modifiers</code>. </p>
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<p><img alt="A binned statistical model describing a High Energy Physics measurement, in this case of the \(H\rightarrow 4l\) process by the ATLAS collaboration. Three different sample (blue, red, violet) are considered." id="fig:hf-example" src="/images/hf-example.pdf" width=".6\%" /> </p>
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<p><img alt="A binned statistical model describing a High Energy Physics measurement, in this case of the \(H\rightarrow 4l\) process by the ATLAS collaboration. Three different sample (blue, red, violet) are considered." id="fig:hf-example" src="/images/hf-example.png" width=".6\%" /> </p>
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<p>The prediction for a binned region is given as </p>
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<div class="arithmatex">\[
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\begin{aligned} \lambda(x)=\sum_{s\in\text{samples}} \left[ \left( d_s(x) + \sum_{\delta\in M_{\delta}} \delta(x,\theta_\delta) \right) \prod_{\kappa\in M_\kappa} \kappa(x,\theta_\kappa) \right] \end{aligned}

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