Continuous Parameter Circuit Processes with Finite State Space

Abstract

Discrete parameter circuit processes, called circuit chains, were defined in the previous chapters as Markov chains whose transition probabilities are expressed by linear combinations in terms of directed circuits and weights. A natural development of these processes is the consideration of the continuous parameter case. One significant aspect, manifesting itself more evidently in the continuous parameter case, is the conversion of the dichotomy circuitweight into qualitative—quantitative stochastic properties. The approach of this chapter is due to S. Kalpazidou (1991c).