25 citations · 45 across the 9 of their papers we have counts for
5 papers · 1 filter
The asymptotic tails of limit distributions of continuous time Markov chains
Chuang Xu, Mads Christian Hansen, Carsten Wiuf
This paper investigates tail asymptotics of stationary distributions and quasi-stationary distributions (QSDs) of continuous-time Markov chains on subsets of the non-negative integ…
Full classification of dynamics for one-dimensional continuous time Markov chains with polynomial transition rates
Chuang Xu, Mads Christian Hansen, Carsten Wiuf
This paper provides full classification of dynamics for continuous time Markov chains (CTMCs) on the non-negative integers with polynomial transition rate functions. Such stochasti…
Structural classification of continuous time Markov chains with applications
Chuang Xu, Mads Christian Hansen, Carsten Wiuf
This paper is motivated by examples from stochastic reaction network theory. The -matrix of a stochastic reaction network can be derived from the reaction graph, an edge-labelle…
Best finite approximations of Benford's Law
Arno Berger, Chuang Xu
For arbitrary Borel probability measures with compact support on the real line, characterizations are established of the best finitely supported approximations, relative to three f…
Best finite constrained approximations of one-dimensional probabilities
Chuang Xu, Arno Berger
This paper studies best finitely supported approximations of one-dimensional probability measures with respect to the -Kantorovich (or transport) distance, where either the lo…