Three-state transition model with left censoring in vertical transition of HIV

Idah Orowe
2020 Applied Mathematical Sciences  
In this paper we develop multi state model for a child born already infected by considering a three state models. We derive the respective Forward Kolmogorov-Differential Equations and obtain expression for transition probabilities which are in form of transition intensities. We then incorporate left censoring and obtain expressions for respective transition intensities using maximum likelihood estimation. We observe that the expected time of transition to the different states are in form of
more » ... s are in form of respective transition intensities.
doi:10.12988/ams.2020.912168 fatcat:nsivageot5aehn3noq3s4sorhe