Correct vhar system equations
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@@ -26,11 +26,11 @@ The \MLE model then predicts that the integrated estimated property $\tilde{s}$
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\begin{equation}{MLE}
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\tilde{s} = \sum_i w_i \tilde{s}_i \quad \text{with} \quad \sum_i w_i = 1
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\end{equation}
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Where the individual weights $w_i$ are proportional to their inverse variances:
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where the individual weights $w_i$ are proportional to their inverse variances:
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\begin{equation}{MLE_weights}
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w_i = \frac{1/\sigma_i^2}{\sigma^2}
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\end{equation}
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And the integrated variance $\sigma^2$ is the inverse of the sum of the individual variances:
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and the integrated variance $\sigma^2$ is the inverse of the sum of the individual variances:
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\begin{equation}{MLE_variance}
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\sigma^2 = \left( \sum_i \frac{1}{\sigma_i^2} \right)^{-1}
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\end{equation}
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