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Changes between Version 24 and Version 25 of OfficialTolArchiveNetworkBysPrior


Ignore:
Timestamp:
Jun 14, 2011, 3:52:13 PM (14 years ago)
Author:
Víctor de Buen Remiro
Comment:

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  • OfficialTolArchiveNetworkBysPrior

    v24 v25  
    148148Then it's posible to write this as an special case of multinormal prior over a linear combination of variables taking
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    150    [[LatexEquation( C=\frac{1}{n-1}\left(\begin{array}{ccccc}n-1 & -1 & \cdots & -1 & -1\\-1 & n-1 & \ddots & \vdots & \vdots\\\vdots & \ddots & \ddots & -1 & -1\\-1 & \cdots & -1 & n-1 & -1\end{array}\right)\in\mathbb{R}^{\left(k-1\right)\times k} )]]
     150   [[LatexEquation( C=\frac{1}{k-1}\left(\begin{array}{ccccc}k-1 & -1 & \cdots & -1 & -1\\-1 & k-1 & \ddots & \vdots & \vdots\\\vdots & \ddots & \ddots & -1 & -1\\-1 & \cdots & -1 & k-1 & -1\end{array}\right)\in\mathbb{R}^{\left(k-1\right)\times k} )]]
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    152152   [[LatexEquation( \mu=C\beta=\left(\begin{array}{c}0\\0\\\vdots\\0\end{array}\right)\in\mathbb{R}^{k} )]]
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    154    [[LatexEquation( \Sigma=\sigma^{2}CC^{T}=\frac{n\sigma^{2}}{\left(n-1\right)^{2}}\left(\begin{array}{cccc}n-1 & -1 & \cdots & -1\\-1 & n-1 & \ddots & \vdots\\\vdots & \ddots & \ddots & -1\\-1 & \cdots & -1 & n-1\end{array}\right)\in\mathbb{R}^{\left(k-1\right)\times\left(k-1\right)} )]]
     154   [[LatexEquation( \Sigma=\sigma^{2}CC^{T}=\frac{k\sigma^{2}}{\left(k-1\right)^{2}}\left(\begin{array}{cccc}k-1 & -1 & \cdots & -1\\-1 & k-1 & \ddots & \vdots\\\vdots & \ddots & \ddots & -1\\-1 & \cdots & -1 & k-1\end{array}\right)\in\mathbb{R}^{\left(k-1\right)\times\left(k-1\right)} )]]
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