I need help understanding:

How to implement a univariate frailty model with:

Step$-$by$-$step R code implementationModel structure and parameter estimationReal data example with C$-$index evaluationVisualization of results

Additionally, I$\text{'}$m interested in:

Extending the model using Deep Neural Networks $($DNN$)$

Comparing traditional frailty model vs DNN$-$based approach.

Using likelihood as loss function for DNN training

Can you provide:

Complete implementation example of both traditional and DNN$-$based frailty models

Performance comparison using C$-$index

Code samples for both approaches