Changes between Version 17 and Version 18 of OfficialTolArchiveNetworkQltvRespModel

Timestamp:

Dec 21, 2010, 3:30:01 PM (14 years ago)

Author:

Víctor de Buen Remiro

Comment:

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OfficialTolArchiveNetworkQltvRespModel

@@ -75 +75 @@
   [[LatexEquation( f'\left(z\right) = - f\left(z\right) F\left(z\right) {\left(1-e^{-z}\right)} )]] [[BR]] [[BR]]
 
-  [[LatexEquation( L\left(\beta\right)=\underset{i}{\sum}w_{i}\left(y_{i}x_{i}^{t}\beta-\ln\left(1+e^{-x_{i}^{t}\beta}\right)\right) )]] 
+  [[LatexEquation( L\left(\beta\right)=\underset{i}{-\sum}w_{i}\left(\ln\left(1+e^{-x_{i}^{t}\beta}\right)+\left(1-y_{i}\right)x_{i}^{t}\beta\right) )]] 
 
-  [[LatexEquation( \frac{\partial L\left(\beta\right)}{\partial\beta_{j}}=\underset{i}{\sum}w_{i}\left(y_{i}x_{ij}-x_{ij}\left(\frac{e^{-x_{i}^{t}\beta}}{1+e^{-x_{i}^{t}\beta}}\right)\right)=\underset{i}{\sum}w_{i}x_{ij}\left(y_{i}-\left(\frac{e^{-x_{i}^{t}\beta}}{1+e^{-x_{i}^{t}\beta}}\right)\right) )]] 
+  [[LatexEquation( \frac{\partial L\left(\beta\right)}{\partial\beta_{j}}=\underset{i}{\sum}w_{i}\left(\frac{e^{-x_{i}^{t}\beta}}{1+e^{-x_{i}^{t}\beta}}-\left(1-y_{i}\right)\right)x_{ij} )]] 
 
-  [[LatexEquation( \frac{\partial L\left(\beta\right)}{\partial\beta_{i}\partial_{j}}=-\underset{k}{\sum}w_{k}\frac{\left(1+e^{-x_{k}^{t}\beta}\right)e^{-x_{k}^{t}\beta}x_{ki}x_{kj}-\left(e^{-x_{k}^{t}\beta}\right)^{2}x_{ki}x_{kj}}{\left(1+e^{-x_{k}^{t}\beta}\right)}=-\underset{k}{\sum}x_{ki}x_{kj}w_{k}\pi_{i}\left(1-\pi_{i}\right) )]] 
+  [[LatexEquation( \frac{\partial L\left(\beta\right)}{\partial\beta_{i}\partial_{j}}=\underset{k}{\sum}w_{k}\frac{-e^{-x_{k}^{t}\beta}}{\left(1+e^{-x_{k}^{t}\beta}\right)^{2}}x_{ki}x_{kj}=-\underset{k}{\sum}x_{ki}x_{kj}w_{k}\pi_{i}\left(1-\pi_{i}\right) )]] 
 
 From the standpoint of arithmetic discrete numerical calculation must take into account that[[BR]]