The construction theory of denumerable Markov processes
Hsiang-chʿün Yang, David George Kendall · Medical Entomology and Zoology · 1990
Part 1: theoretical background introduction to construction theory construction of Q processes in simple cases uniqueness. Part 2 Construction theory of birth-death processes: bilateral birth-death processes birth-death processes. Part 3 Martin boundary and its application in the construction theory: Martin boundary and Q processes construction of Q processes with finite non-conservative states and finite exit boundary. Part 4 Path structure of denumerable Markov processes: the W transformation and strong limit leaping interval and entrance decomposition extension of processes. Part 5 Construction theory of birth-death processes - probability method: probability structure of birth-death processes relation between two kinds of construction theories of birth-death processes. Part 6 Properties of Markov processes related to construction theory: properties of birth-death processes recurrence and ergodic properties.