Abstract
We describe how the true statistical error on an average of correlated data can be obtained with ease and efficiency by a renormalization group method. The method is illustrated with numerical and analytical examples having finite as well as infinite range correlations.
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References
Wilson, K., Monte Carlo calculations for the lattice gauge theory. In’ t Hooft G. et al., editor, Recent Developments in Gauge Theories, (Cargése, 1979. Plenum, New York, 1980).
Whitmer, C., Phys. Rev. D 29 306 (1984).
Jacucci, G. and Rahman, A., Nuovo Cimento D 4 341 (1984).
Gottlieb, S., Mackenzie, P. B., Thacker, H. B., Weingarten, D., Nucl. Phys. B 263 704 (1986).
Allen, M. P. and Tildesley, D. J., Computer simulation of liquids. (Clarendon Press, Oxford. 1987).
Flyvbjerg, H. and Petersen, H. G., J. Chem. Phys. 91 461 (1989).
Binder, K., Monte Carlo investigations. In Domb, C. and Green, M., editors, Phase Transitions and Critical Phenomena, volume 5. (Academic, New York, 1976).
Binder, K., Theory and “technical” aspects of Monte Carlo simulations. In Binder, K., editor, Monte Carlo Methods in Statistical Physics, volume 7 of Topics in Current Physics. 2nd ed. (Springer-Verlag, New York, 1979, 1986).
Binder, K. and Stauffer, D., A simple introduction to Monte Carlo simulation and some specialized topics. In Binder, K., editor, Applications of the Monte Carlo Method in Statistical Physics, volume 36 of Topics in Current Physics. 2nd ed. (Springer, New York, 1984, 1987).
Daniell, G. J., Hey, A. J. G., and Mandula, J. E., Phys. Rev. D 30 2230 (1984).
Pollock, E. L. and Alder, B. J., Physica A 102 1 (1980).
de Leeuw, S. W., Perram, J. W., and Smith, E. R., Proc. R. Soc. London Ser. A 373 27 (1980).
Petersen, H. G., de Leeuw, S. W., and Perram, J. W., Mol. Phys. 66 637 (1989).
Miller, R. G., Biometrika 61 1 (1974).
Efron, B., SIAM Review 21 460 (1979).
Efron, B., The Jackknife, the Bootstrap and Other Resampling Plans, volume 38 of Regional Conference Series in Applied Mathematics. (SIAM, 1982).
Efron, B. and Tibshirani, R. J., An introduction to the bootstrap. (Chapman & Hall, London, 1993).
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© 1998 Springer-Verlag
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Flyvbjerg, H. (1998). Error estimates on averages of correlated data. In: Kertész, J., Kondor, I. (eds) Advances in Computer Simulation. Lecture Notes in Physics, vol 501. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0105461
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DOI: https://doi.org/10.1007/BFb0105461
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