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References
- D.J. Aldous and H. Thorisson, Shift-coupling, Stoch. Proc. Appl. 44, (1993), 1--14. Math Review link
- S. Asmussen, Applied Probability and Queues, John Wiley & Sons, New York (1987). Math Review link
- K.B. Athreya and P. Ney, A new approach to the limit theory of recurrent Markov chains, Trans. Amer. Math. Soc. 245, (1978), 493--501. Math Review link
- P.H. Baxendale, Uniform estimates for geometric ergodicity of recurrent Markov chains, Tech. Rep., Dept. of Mathematics, University of Southern California (1994). Math Review article not available.
- R.N. Bhattacharya and E.C. Waymire, Stochastic processes with applications, Wiley & Sons, New York, (1990). Math Review link
- M.F. Chen and S.F. Li, Coupling methods for multidimensional diffusion processes, Ann. Prob. 17, (1989), 151--177. Math Review link
- P.L. Davis, Rates of convergence to the stationary distribution for k-dimensional diffusion processes, J. Appl. Prob. 23, (1986), 370--384. Math Review article not available.
- A.E. Gelfand and A.F.M. Smith, Sampling based approaches to calculating marginal densities, J. Amer. Stat. Assoc. 85, (1990), 398--409. Math Review link
- U. Grenander and M.I. Miller, Representations of knowledge in complex systems (with discussion), J. Roy. Stat. Soc. B 56, (1994), 549--604. Math Review link
- H.R. Lerche, Boundary crossings of Brownian motion, Springer-Verlag, London, (1986). Math Review link
- P. Levy, Processus stochastiques et mouvement Brownien, Gauthier-Villars, Paris, (1965). Math Review link
- T. Lindvall, Lectures on the coupling method, Wiley & Sons, New York, (1992). Math Review link
- T. Lindvall and L.C.G. Rogers, Coupling of multidimensional diffusions by reflection, Ann. Prob. 14, 860--872. Math Review link
- S.P. Meyn and R.L. Tweedie, Stability of Markovian processes III: Foster-Lyapunov criteria for continuous-time processes, Adv. Appl. Prob. 25, (1993), 518--548. Math Review link
- S.P. Meyn and R.L. Tweedie, Markov chains and stochastic stability, Springer-Verlag, London (1993). Math Review link
- S.P. Meyn and R.L. Tweedie, Computable bounds for convergence rates of Markov chains, Ann. Appl. Prob. 4, (1994), 981--1011. Math Review link
- E. Nummelin, General irreducible Markov chains and non-negative operators, Cambridge University Press (1984). Math Review link
- D.B. Phillips and A.F.M. Smith, Bayesian model comparison via jump diffusions, Tech. Rep. 94--20, Department of Mathematics, Imperial College, London (1994). Math Review article not available.
- G.O. Roberts and J.S. Rosenthal, Shift-coupling and convergence rates of ergodic averages. Preprint, (1994). Math Review article not available.
- G.O. Roberts and J.S. Rosenthal, Optimal scaling of discrete approximations to Langevin diffusions, Preprint (1995). Math Review article not available.
- G.O. Roberts and R.L. Tweedie, Exponential Convergence of Langevin Diffusions and their discrete approximations, Preprint (1995). Math Review article not available.
- J.S. Rosenthal, Minorization conditions and convergence rates for Markov chain Monte Carlo, J. Amer. Stat. Assoc. 90 (1995), 558-566. Math Review link
- A.F.M. Smith and G.O. Roberts, Bayesian computation via the Gibbs sampler and related Markov chain Monte Carlo methods, J. Roy. Stat. Soc. Ser. B 55, (1993), 3--24. Math Review link
- H. Thorisson, Coupling methods in probability theory, Tech. Rep. RH--18--92, Science Institute, University of Iceland (1992). Math Review article not available.
- H. Thorisson, Coupling and shift-coupling random sequences, Contemp. Math., Volume 149, (1993). Math Review link
- H. Thorisson, Shift-coupling in continuous time, Prob. Th. Rel. Fields 99, (1994), 477--483. Math Review link

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