On the small-sample optimality of multiple-regeneration estimators

James Calvin, Peter W. Glynn, Marvin Nakayama

Research output: Contribution to journalConference article

2 Scopus citations


We describe a simulation output analysis methodology suitable for stochastic processes that are regenerative with respect to multiple regeneration sequences. Our method exploits this structure to construct estimators that are more efficient than those that are obtained with the standard regenerative method. We illustrate the method in the setting of discrete-time Markov chains on a countable state space, and we present a result showing that the estimator is the uniform minimum variance unbiased estimator for finite-state-space discrete-time Markov chains. Some empirical results are given.

Original languageEnglish (US)
Pages (from-to)655-661
Number of pages7
JournalWinter Simulation Conference Proceedings
StatePublished - Dec 1 1999
Event1999 Winter Simulation Conference Proceedings (WSC) - Phoenix, AZ, USA
Duration: Dec 5 1999Dec 8 1999


All Science Journal Classification (ASJC) codes

  • Software
  • Safety, Risk, Reliability and Quality
  • Applied Mathematics
  • Chemical Health and Safety
  • Modeling and Simulation

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