Template:Gll weibull: Difference between revisions

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====GLL Weibull====
#REDIRECT [[Multivariable_Relationships:_General_Log-Linear_and_Proportional_Hazards]]
The GLL-Weibull model can be derived by setting  <math>\eta =L(\underline{X})</math>  in Eqn. (GLL1), yielding the following GLL-Weibull  <math>pdf</math> :  
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<math>f(t,\underline{X})=\beta \cdot {{t}^{\beta -1}}{{e}^{-\beta \left( {{\alpha }_{0}}+\underset{j=1}{\overset{n}{\mathop{\sum }}}\,{{\alpha }_{j}}{{X}_{j}} \right)}}{{e}^{-{{t}^{\beta }}{{e}^{-\beta \left( {{\alpha }_{0}}+\underset{j=1}{\overset{n}{\mathop{\sum }}}\,{{\alpha }_{j}}{{X}_{j}} \right)}}}}</math>
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The total number of unknowns to solve for in this model is  <math>n+2</math>  (i.e.  <math>\beta ,{{a}_{0}},{{a}_{1}},...{{a}_{n}}).</math>
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Latest revision as of 22:50, 15 August 2012