Regenerative Structure of Markov Chains Simulated via Common Random Numbers.
Technicl summary rept.,
WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
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A standard strategy in simulation, for comparing two stochastic systems, is to use a common sequence of random numbers to drive both systems. Certain theoretical and methodological results require that the coupled system be regenerative. It is shown that if the stochastic systems are Markov chains with countable state space, then the coupled system is necessarily regenerative. An example is given which shows that the regenerative property can fail to hold in general state space, even if the individual systems are regenerative.
- Statistics and Probability