Author's: Pan Zhao
Pages: [69] - [86]
Received Date: October 27, 2021
Submitted by: Professor Zeki Kasap
DOI: http://dx.doi.org/10.18642/ijamml_710012241
Under the assumption of Möbius monotonicity, we develop the theory of strong stationary duality for continuous time Markov chains on the finite partially ordered state space, we also construct a nonexplosive algebraic duality for continuous time Markov chains on Finally, we present an application to the two-dimensional birth and death chain.
strong stationary times, strong stationary duality, algebraic duality, Möbius function, Möbius monotonicity.