Summary
In many practical situations, we are not satisfied with the accuracy of the existing measurements. There are two possible ways to improve the measurement accuracy:
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first, instead of a single measurement, we can make repeated measurements; the additional information coming from these additional measurements can improve the accuracy of the result of this series of measurements;
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second, we can replace the current measuring instrument with a more accurate one; correspondingly, we can use a more accurate (and more expensive) measurement procedure provided by a measuring lab – e.g., a procedure that includes the use of a higher quality reagent.
In general, we can combine these two ways, and make repeated measurements with a more accurate measuring instrument. What is the appropriate trade-off between sample size and accuracy? In our previous paper, we solved this problem for the case of static measurements. In this paper, we extend the results to the case of dynamic measurements.
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References
Dravskikh, A., Finkelstein, A.M., Kreinovich, V.: Astrometric and geodetic applications of VLBI ‘arc method’. In: Modern Astrometry, Proceedings of the IAU Colloquium, Vienna, vol. 48, pp. 143–153 (1978)
Dravskikh, A.F., et al.: Possibility of using a reference-object method to form a phase-stable multielement long-baseline interferometric system. In: Bulletin of the Special Astrophysical Observatory – North Caucasus, vol. 16, pp. 72–80. Allerton Press, NY (1984)
Dravskikh, A.F., et al.: The method of arcs and differential astrometry. Soviet Astronomy Letters 5(3), 160–162 (1979)
Dravskikh, A.F., et al.: Optimization of the procedure for measuring arcs by radiointerferometry. Soviet Astronomy Letters 5(4), 227–228 (1979)
Kreinovich, V., et al.: Interval estimates for closure phase and closure amplitude imaging in radio astronomy. Interval Computations 2(4), 51–71 (1992)
Kreinovich, V., et al.: Computational complexity and feasibility of data processing and interval computations. Kluwer, Dordrecht (1997)
Kreinovich, V., et al.: Open-ended configurations of radio telescopes: A geometrical analysis. Geombinatorics 13(2), 79–85 (2003)
Kreinovich, V., et al.: Open-ended configurations of radio telescopes: Towards optimal design. In: Proceedings of the 2002 World Automation Congress WAC 2002, Orlando, Florida, June 9–13, 2002, pp. 101–106 (2002)
Mandelbrot, B.B.: The fractal geometry of Nature. Freeman, San Francisco (1982)
Nguyen, H.T., Kreinovich, V.: Applications of continuous mathematics to computer science. Kluwer, Dordrecht (1997)
Nguyen, H.T., Kreinovich, V.: Trade-off between sample size and accuracy: Case of dynamic measurements (in these proceedings)
Novitskii, P.V., Zograph, I.A.: Estimating the Measurement Errors. Energoatomizdat, Leningrad (in Russian) (1991)
Orlov, A.I.: How often are the observations normal? Industrial Laboratory 57(7), 770–772 (1991)
Rabinovich, S.: Measurement Errors and Uncertainties: Theory and Practice. Springer, New York (2005)
Sheskin, D.J.: Handbook of Parametric and Nonparametric Statistical Procedures. Chapman & Hall/CRC, Boca Raton, Florida (2004)
Stevens, D.: Analysis of biological systems. In: Proceedings of the NIH MARC Winter Institute on Undergraduate Education in Biology, January 7–11, 2005, Santa Cruz, California (2005)
Verschuur, G.L., Kellerman, K.I.: Galactic and Extragalactic Radio Astronomy. Springer, NY (1988)
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Nguyen, H.T., Kosheleva, O., Kreinovich, V., Ferson, S. (2008). Trade-Off between Sample Size and Accuracy: Case of Dynamic Measurements under Interval Uncertainty. In: Huynh, VN., Nakamori, Y., Ono, H., Lawry, J., Kreinovich, V., Nguyen, H.T. (eds) Interval / Probabilistic Uncertainty and Non-Classical Logics. Advances in Soft Computing, vol 46. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77664-2_5
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DOI: https://doi.org/10.1007/978-3-540-77664-2_5
Publisher Name: Springer, Berlin, Heidelberg
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