A continuous-time Markov chain (CTMC) is a continuous stochastic process in which, for each state, the process will change state according to an exponential...

the chain moves state at discrete time steps, gives a discrete-time Markov chain (DTMC). A continuous-time process is called a continuous-time Markov chain...

equations, characterize continuous-time Markov processes. In particular, they describe how the probability of a continuous-time Markov process in a certain...

In probability, a discrete-time Markov chain (DTMC) is a sequence of random variables, known as a stochastic process, in which the value of the next variable...

once entered, cannot be left. Like general Markov chains, there can be continuous-time absorbing Markov chains with an infinite state space. However, this...

In statistics, Markov chain Monte Carlo (MCMC) is a class of algorithms used to draw samples from a probability distribution. Given a probability distribution...

comes from the Russian mathematician Andrey Markov as they are an extension of Markov chains. At each time step, the process is in some state s {\displaystyle...

and sufficient condition for a Markov chain or continuous-time Markov chain to be stochastically identical to its time-reversed version. The theorem states...

processes, such as Markov chains and Poisson processes, can be derived as special cases among the class of Markov renewal processes, while Markov renewal processes...

array of numbers describing the instantaneous rate at which a continuous-time Markov chain transitions between states. In a transition-rate matrix Q {\displaystyle...