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Changes between Version 14 and Version 15 of OfficialTolArchiveNetworkGrzLinModel


Ignore:
Timestamp:
Mar 30, 2011, 3:49:21 PM (14 years ago)
Author:
Víctor de Buen Remiro
Comment:

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  • OfficialTolArchiveNetworkGrzLinModel

    v14 v15  
    7474 * the log-density function will be then [[BR]] [[BR]]
    7575   [[LatexEquation( \ln f\left(y;\mu,\sigma^{2}\right)= -\frac{1}{2}\ln\left(2\pi\sigma^{2}\right)-\frac{1}{2\sigma^{2}}\left(y}-\mu\right)^{2} )]][[BR]] [[BR]]
    76  * the partial derivative of log-density function respect to the linear prediction is [[BR]] [[BR]]
     76 * the partial derivatives of log-density function respect to the linear prediction is [[BR]] [[BR]]
    7777   [[LatexEquation( \frac{\partial\ln f}{\partial\eta}=\frac{1}{\sigma^{2}}\left(y-\eta\right) )]] [[BR]] [[BR]]
     78   [[LatexEquation( \frac{\partial^{2}\ln f}{\partial\eta^{2}}=-\frac{1}{\sigma^{2}} )]] [[BR]] [[BR]]
    7879
    7980=== Weighted Poisson Regresion ===
     
    9192 * and its logarithm will be [[BR]] [[BR]]
    9293   [[LatexEquation( \ln f\left(y;\mu\right)=-\ln\left(y!\right)+y\ln\left(\mu\right)-\mu = -\ln\left(y!\right)+y\eta-e^{\eta} )]]
    93  * the partial derivative of log-density function respect to the linear prediction is [[BR]] [[BR]]
     94 * the partial derivatives of log-density function respect to the linear prediction is [[BR]] [[BR]]
    9495   [[LatexEquation( \frac{\partial\ln f}{\partial\eta}=y-e^{\eta} )]] [[BR]] [[BR]]
     96   [[LatexEquation( \frac{\partial^{2}\ln f}{\partial\eta^{2}}=-e^{\eta} )]] [[BR]] [[BR]]
    9597
    9698