In the Paper the Loss function contains 3 parts:

The first part is the log-likelihood, the second is the event cross-entropy loss, and the third is the time RMSE loss.
I don't know if it is appropriate to mix these all together. As I expect, if the log-likelihood is applied, then to predict the next event's time, the only way is to calculate the expectation of PDF:

Can anyone help me make further clarification?