A Class of Piecewise Deterministic Markov Processes
G. Colombo, P. Dai Pra
2001, v.7, Issue 2, 251-287
ABSTRACT
A class of not necessarily homogeneous Markov processes is constructed. These processes are characterized by a property of loss of memory after they leave the trajectory of a given deterministic flow. With this property, the law of the process is completely determined by the marginal distributions. The regularity of sample paths is also analyzed in detail. As an example, magnitude-frequency models for earthquakes are discussed.
Keywords: jump processes,order relations between probability measures
COMMENTS
Please log in or register to leave a comment
There are no comments yet