Mixtures of Markov Processes

ON THE INFINITE ORDER MARKOV PROCESSES

The notion of infinite order Markov process is introduced and the Markov property of the flow of information is established.

Application of Markov Processes to the Machine Delays Analysis

Production and non-productive equipment and personnel delays are a critical element of any production system. The frequency and length of delays impact heavily on the production and economic efficiency of these systems. Machining processes in wood industry are particularly vulnerable to productive and non-productive delays. Whereas, traditional manufacturing industries usually operate on homoge...

The KTH Visit in Semi-Markov Processes

ON THE GENERALIZATION OF N-PLE MARKOV PROCESSES

The notion of N-ple Markov process is defined in a quite general framework and it is shown that N-ple Markov processes-arel inear combinationso f some martingales

On Mixtures of Markov Chains

We study the problem of reconstructing a mixture of Markov chains from the trajectories generated by random walks through the state space. Under mild nondegeneracy conditions, we show that we can uniquely reconstruct the underlying chains by only considering trajectories of length three, which represent triples of states. Our algorithm is spectral in nature, and is easy to implement.