Coupling and regeneration for stochastic processes

PS file of version printed by Sociedad Venezolana de Matematicas, May 2000 160 pages,
Corrected version, Nov 2000 163 pages
ps Corrected version, Oct 2001 153 + 12 pages
pdf Corrected version, Oct 2001 153 + 12 pages


P. A. Ferrari, A. Galves


This is an elementary book on Stochastic Processes using a constructive approach. We construct the processes and couplings. We use the approach to prove convergence to equilibrium and the Key Theorem in renewal theory. We also construct Poisson processes using the projection method and pure jump processes using a two dimensional Poisson process. We use the text to teach undergraduate and Master courses.

All but two chapters are translations (with corrections) of the book Acoplamento em processos estocásticos by same authors. There are two new chapters on regeneration and on perfect simulation. The chapters on Burke's theorem and on particle systems are not included in this notes.


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Last modified: Fri Mar 7 12:02:14 EST 2003