We present exchange formulas that allow to express the stationary distribution of a continuous Markov chain with denumerable state-space having generator matrix Q∗ through a con...
We calculate the Shannon entropy rate of a binary Hidden Markov Process (HMP), of given transition rate and noise (emission), as a series expansion in . The first two orders are ca...
It is difficult to find an existing single model which is able to simultaneously model exceedances over thresholds in multivariate financial time series. A new modeling approach, ...
Real stochastic processes operating in continuous time can be modeled by sets of stochastic differential equations. On the other hand, several popular model families, including hi...