Semi-Markov processes extend traditional Markov models by explicitly accounting for the time spent in each state before transitioning. This added temporal dimension is particularly valuable in credit ...

This is a preview. Log in through your library . Abstract This paper presents a partitioning algorithm for recursively computing the steady state probabilities for a finite, irreducible Markov chain ...

A Markov-modulated Poisson Process (MMPP) is a Poisson process that has its parameter controlled by a Markov process. These arrival processes are typical in communications modeling where time-varying ...

This is a preview. Log in through your library . Abstract We have two aims in this paper. First, we generalize the well-known theory of matrix-geometric methods of Neuts to more complicated Markov ...

If we can ‘talk’ to AI programs today, it’s in part because of a Russian from the 1800s. Markov’s approach to data in flux changed how we navigate our world. There’s an odd little trick to how AI ...