Template:Gll lognormal: Difference between revisions

From ReliaWiki
Jump to navigation Jump to search
 
Line 1: Line 1:
===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>

Latest revision as of 22:51, 15 August 2012