4 papers
Multi-state model with temporal-consistent survival analysis for homogeneous Markov chains
Mikael Escobar-Bach, Alexandre Popier, Malo Sahin
In this study, we consider sequences drawn from time-homogeneous Markov chains and introduce a novel approach for estimating first hitting-time distributions to specified terminal…
Ratio limit theorem for renewal processes
Mikael Escobar-Bach, Alexandre Popier, Malo Sahin
We consider a renewal process which models a cumulative shock model that fails when the accumulation of shocks up-crosses a certain threshold. The ratio limit properties of the pro…
A dependent and censored first hitting-time model with compound Poisson processes
Mikael Escobar-Bach, Alexandre Popier, Malo Sahin
We consider a bivariate first hitting-time model in which durations are the crossing times of dependent compound Poisson processes with fixed thresholds. The identifiability of the…
Dependent censoring with simultaneous death times based on the Generalized Marshall-Olkin model
Mikael Escobar-Bach, Salima Helali
In this paper, we considered the problem of dependent censoring models with a positive probability that the times of failure are equal. In this context, we proposed to consider the…