Abstract
The statistical analysis of simulation output has been the primary focus of recent research in simulation methodology. Methods have been developed which permit the simulator to construct confidence intervals for steady-state characteristics of the system being simulated. The principal methods in current use are autoregressive modeling, batch means, regenerative, and replication. With the exception of the replication method, all methods are bas d on just one simulation run. These methods for constructing confidence intervals are all based on central limit theorems for the underlying stochastic processes being simulated. Thus all methods are only valid asymptotically for long simulation runs.
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References
Akaike, H. (1976). Canonical Correlation Analysis of Time Series and the use of an Information Criterion. Systerns Identification: Advances and Case Studies, R. K. Mehra and D. G. Lainioties, eds., Academic Press, New York.
Akaike, H. and G. Kitigawa (1978). A Procedure for the Modeling of Non-stationary Time Series. Ann. Inst. Statist. Math., 30, B, 351–353.
Athreya, K. B. and P. Ney (1978). A New Approach to the Limit Theory of Markov Chains. Trans. Amer. Math. Soc., 245. 493–501.
Billingsley, P. 1968 ). Convergence of Probability Measures. John Wiley, New York.
Crane, M. A. and D. L. Iglehart (1975). Simulating Stable Stochastic Systems, IV: Approximation Techniques. Management Sci., 21, 1215–1224.
Doob, J. L. (1953). Stochastic Processes. John Wiley and Sons, New York.
Fossett, L. D. (1979). Simulating Generalized Semi-Markov Processes. Ph.D. Dissertation, Department of Operations Research, Stanford University.
Glynn, P. W. (1980). An Approach to Regenerative Simulation on a General State Space. Technical Report 53, Department of Operations Research, Stanford University.
Glynn, P. W. (1981). Forthcoming Technical Report, Department of Operations Research, Stanford University.
Harris, T. E. (1956). The Existence of Stationary Measures for Certain Markov Processes. Proc. Third Berkeley Symposium on Mathematical Statistics and Probability, Vol. 2, Jersey Neyman, ed., University of California Press, Berkeley.
Hordijk, A. and R. Schassberger (1982). Weak Convergence for Generalized Semi-Markov Processes. To appear in Stochastic Process. Appl.
Jow, L. (1981). Forthcoming Technical Report. Department of Operations Research, Stanford University.
Nummelin, E. (1978). A Splitting Technique for Harris Recurrent Markov Chains. Z. Wahrsch. Verw. Gebiete., 43, 309–318.
Orey, S. (1959). Recurrent Markov Chains. Pacific J. Math., 9, 805–827.
Smith, W. L. (1955). Regenerative Stochastic Processes. Proc. Soc. London, Ser. A, 232, 6–31.
Whitt, W. (1980). Continuity of Generalized Semi-Markov Processes. Math. Oper. Res.,. 5, 494–501.
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© 1982 Birkhäuser Boston, Inc.
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Glynn, P.W., Iglehart, D.L. (1982). Simulation Output Analysis for General State Space Markov Chains. In: Disney, R.L., Ott, T.J. (eds) Applied Probability-Computer Science: The Interface Volume 1. Progress in Computer Science, vol 2. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-5791-2_3
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DOI: https://doi.org/10.1007/978-1-4612-5791-2_3
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