wiki:maths:normal

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wiki:maths:normal [2024/11/04 20:45] Roy Proutywiki:maths:normal [2024/11/04 20:45] (current) Roy Prouty
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 Normal Distributions have the favorable quality that their parameters add in quadrature: Normal Distributions have the favorable quality that their parameters add in quadrature:
 Given $\mathcal{Norm_A}(\mu_A, \sigma_A)$ & $\mathcal{Norm_B}(\mu_B, \sigma_B)$\\ \\ Given $\mathcal{Norm_A}(\mu_A, \sigma_A)$ & $\mathcal{Norm_B}(\mu_B, \sigma_B)$\\ \\
-Then, $\mathcal{Norm_A}+$\mathcal{Norm_B} = $\mathcal{Norm}(\mu_A+ \mu_B, \sqrt{\sigma_A^2 + \sigma_B^2})$+Then, $\mathcal{Norm_A}+\mathcal{Norm_B} = \mathcal{Norm}\biggl(\mu_A+ \mu_B, \sqrt{\sigma_A^2 + \sigma_B^2}\biggr)$