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| Both sides previous revision Previous revision Next revision | Previous revision | ||
| wiki:maths:normal [2024/11/04 20:45] – Roy Prouty | wiki: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, | Given $\mathcal{Norm_A}(\mu_A, | ||
| - | Then, $\mathcal{Norm_A}+$\mathcal{Norm_B} = $\mathcal{Norm}(\mu_A+ \mu_B, \sqrt{\sigma_A^2 + \sigma_B^2})$ | + | Then, $\mathcal{Norm_A}+\mathcal{Norm_B} = \mathcal{Norm}\biggl(\mu_A+ \mu_B, \sqrt{\sigma_A^2 + \sigma_B^2}\biggr)$ |