Changes between Version 17 and Version 18 of OfficialTolArchiveNetworkGrzLinModel

Timestamp:

Mar 30, 2011, 4:10:27 PM (14 years ago)

Author:

Víctor de Buen Remiro

Comment:

--

OfficialTolArchiveNetworkGrzLinModel

@@ -64 +64 @@
 The gradient of the logarithm of the likelihood function will be
 
-  [[LatexEquation( \frac{\partial L\left(\beta\right)}{\partial\beta_{j}}=\frac{\partial L\left(\beta\right)}{\partial\eta}\frac{\partial\eta}{\partial\beta_{j}}=\overset{m}{\underset{i}{\sum}}w_{i}\frac{\partial\ln f_{k}}{\partial\eta}x_{ij} )]] 
+  [[LatexEquation( \frac{\partial L\left(\beta\right)}{\partial\beta_{j}}=\frac{\partial L\left(\beta\right)}{\partial\eta_{i}}\frac{\partial\eta_{i}}{\partial\beta_{j}}=\overset{m}{\underset{i}{\sum}}w_{i}\frac{\partial\ln f_{i}}{\partial\eta_{i}}x_{ij} )]] 
 
 and the hessian is
 
-  [[LatexEquation( \frac{\partial L\left(\beta\right)}{\partial\beta_{i}\partial\beta_{j}}=\underset{i}{\sum}w_{i}\frac{\partial^{2}\ln f_{i}}{\partial\eta^{2}}x_{ik}x_{jk} )]] 
+  [[LatexEquation( \frac{\partial L\left(\beta\right)}{\partial\beta_{i}\partial\beta_{j}}=\underset{k}{\sum}w_{k}\frac{\partial^{2}\ln f_{k}}{\partial\eta_{k}^{2}}x_{ik}x_{jk} )]] 
 
 This class also implements these common features