Template:Gll exponential: Difference between revisions

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====GLL Exponential====
#REDIRECT [[Multivariable_Relationships:_General_Log-Linear_and_Proportional_Hazards]]
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The GLL-exponential model can be derived by setting  <math>m=L(\underline{X})</math>  in the exponential <math>pdf</math>, yielding the following GLL-exponential  <math>pdf</math> :  
 
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<math>f(t,\underline{X})={{e}^{-\left( {{\alpha }_{0}}+\underset{j=1}{\overset{n}{\mathop{\sum }}}\,{{\alpha }_{j}}{{X}_{j}} \right)}}{{e}^{-\left( {{\alpha }_{0}}+\underset{j=1}{\overset{n}{\mathop{\sum }}}\,{{\alpha }_{j}}{{X}_{j}} \right)\cdot t}}</math>
 
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The total number of unknowns to solve for in this model is  <math>n+1</math>  (i.e.  <math>{{a}_{0}},{{a}_{1}},...{{a}_{n}}).</math>
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Latest revision as of 22:48, 15 August 2012