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Central Limit Theorems for Permuted Regenerative Estimators

Author

Listed:
  • James M. Calvin

    (Simulation and Modeling Laboratory, Department of Computer and Information Science, New Jersey Institute of Technology, Newark, New Jersey 07102-1982)

  • Marvin K. Nakayama

    (Simulation and Modeling Laboratory, Department of Computer and Information Science, New Jersey Institute of Technology, Newark, New Jersey 07102-1982)

Abstract

We prove strong laws of large numbers and central limit theorems for some permuted estimators from regenerative simulations. These limit theorems provide the basis for constructing asymptotically valid confidence intervals for the permuted estimators.

Suggested Citation

  • James M. Calvin & Marvin K. Nakayama, 2000. "Central Limit Theorems for Permuted Regenerative Estimators," Operations Research, INFORMS, vol. 48(5), pages 776-787, October.
  • Handle: RePEc:inm:oropre:v:48:y:2000:i:5:p:776-787
    DOI: 10.1287/opre.48.5.776.12409
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    Cited by:

    1. Calvin, James M. & Nakayama, Marvin K., 2004. "Permuted derivative and importance-sampling estimators for regenerative simulations," European Journal of Operational Research, Elsevier, vol. 156(2), pages 390-414, July.
    2. James M. Calvin & Marvin K. Nakayama, 2006. "Permuted Standardized Time Series for Steady-State Simulations," Mathematics of Operations Research, INFORMS, vol. 31(2), pages 351-368, May.

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