Transition probabilities that are stage dependent and transition state dependent?
I am dealing with a transition state model. I have figured out how to assign transition probabilities depending on the stage. But I want to take the model to the next level.
I do not only want to assign stage-dependent probabilities, I want to implement a function that helps assign transition probabilities that are stage dependent and transition state dependent (e.g. for the first 3 years in a state, assign transition probability XYZ to a population)
To make this easier to understand, I would like to give an example: e.g. when an individual of population transitions from state A to state B, the likelihood to transition to stage C is e.g. 10 % transition probability in the first year/stage in state B, 5% transition probability in the second year/stage in state B and 3 % transition probability in the third year/stage in state B etc...... since I do not know at which year/stage an individual arrives at state B, I cannot use transition probabilities only dependent on years/stages.
Has anyone solved this problem? I would really appreciate your help!!!! Regards, Andreas