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Showing math.PRShow all
3 papers · 1 filter
math.PR2007★ 1 cited
On the path structure of a semimartingale arising from monotone probability theory
Alexander C. R. Belton
Let be the unique normal martingale such that and \[\mathrm{d}[X]_t=(1-t-X_{t-}) \mathrm{d}X_t+\mathrm{d}t\] and let for all ; the semimartingale…
math.PR2007★ 82 cited
Harris recurrence of Metropolis-within-Gibbs and trans-dimensional Markov chains
Gareth O. Roberts, Jeffrey S. Rosenthal
A -irreducible and aperiodic Markov chain with stationary probability distribution will converge to its stationary distribution from almost all starting points. The property of…
math.PR2005★ 90 cited
Subgeometric ergodicity of strong Markov processes
G. Fort, G. O. Roberts
We derive sufficient conditions for subgeometric f-ergodicity of strongly Markovian processes. We first propose a criterion based on modulated moment of some delayed return-time to…