Template:Gll lognormal: Difference between revisions

Latest revision as of 22:51, 15 August 2012

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-====GLL Lognormal====
+#REDIRECT [[Multivariable_Relationships:_General_Log-Linear_and_Proportional_Hazards]]
-<br>
-The GLL-lognormal model can be derived by setting  <math>\breve{T}=L(\underline{X})</math>
-in the lognormal <math>pdf</math>, yielding the following GLL-lognormal <math>pdf</math> :
-<br>
-<math>f(t,\underline{X})=\frac{1}{t\text{ }{{\sigma }_{{{T}'}}}\sqrt{2\pi }}{{e}^{-\tfrac{1}{2}{{\left( \tfrac{{T}'-{{\alpha }_{0}}-\underset{j=1}{\overset{n}{\mathop{\sum }}}\,{{\alpha }_{j}}{{X}_{j}}}{{{\sigma }_{{{T}'}}}} \right)}^{2}}}}</math>
-<br>
-The total number of unknowns to solve for in this model is  <math>n+2</math>  (i.e.  <math>{{\sigma }_{{{T}'}}},{{a}_{0}},{{a}_{1}},...{{a}_{n}}).</math>
-<br>