Markov processes form a fundamental class of stochastic models in which the evolution of a system is delineated by the memoryless property. In such processes, the future state depends solely on the ...

This is a preview. Log in through your library . Abstract A limit theorem is proved for semi-Markov processes, which depend on a small parameter, tending to 0, in the case when the processes have an ...

We extend the definition of level-crossing ordering of stochastic processes, proposed by Irle and Gani (2001), to the case in which the times to exceed levels are compared using an arbitrary ...