For a given transition rate, i.e., a Q-matrix Q = (qij) on a countable state space, the uniqueness of the Q-semigroup P(t) = (pij(t)), the recurrence and the positive recurrence of the corresponding ...
Abstract Let 𝜉 = {𝜉𝑛}𝑛≥₀ be a Markov chain defined on a probability space (Ω, ℱ, ℙ) valued in a discrete topological space 𝑆 that consists of a finite number of real 𝑑 × 𝑑 matrices. As usual, ...
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