A probabilistic approach for estimating the loss of precision in measurement chains as an optimality criterion for the analysis of a chain is proposed. In this approach, the ultimate or resultant dimension of the unit of a physical quantity that has been transferred from a national (initial) standard to working measurement devices constitutes a random variable that is a composition of the distributions of the values of the dimension of the unit of a physical quantity by stage of transfer of the unit in the measurement chain.
Similar content being viewed by others
References
V. D. Frumkin and N. A. Rubichev, Theory of Probability and Statistics in Metrology and Measurement Sciences [in Russian], Mashinostroenie, Moscow (1987).
Handbook on the Expression of Measurement Uncertainty [Translated from English], Mendeleev All-Russia Institute of Metrology, St. Petersburg (1999).
A. I. Gerasimovich, Mathematical Statistics. A Textbook for Engineering and Economic Concentrators in Post-Secondary Educational Institutions [in Russian], Vysshaya Shkola, Moscow (1983).
E. S. Venttsel, Probability Theory: A Textbook for Post-Secondary Educational Institutions [in Russian], Vysshaya Shkola, Moscow (1999).
V. A. Figurin and V. V. Obolonkin, Probability Theory and Mathematical Statistics: A Textbook for Post-Secondary Educational Institutions [in Russian], Novoe Znanie, Minsk (2000).
P. F. Dunaev, Scaling Circuits [in Russian], Mashgiz, Moscow (1963).
A. N. Duka, Calculation of Scaling Chains of Machines and Mechanisms [in Russian], Tekhnika, Kiev (1969).
N. N. Chervyakovskaya, A Review of the Mechanism Responsible for Losses of Precision in Measurement Chains. A Probabilistic Approach [in Russian], BelGIM, Minsk (2007).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Izmeritel’naya Tekhnika, No. 9, pp. 8–12, September, 2010.
Rights and permissions
About this article
Cite this article
Chervyakovskaya, N.N. Use of the mechanism of error accumulation in measurement chains based on a probabilistic approach as an optimality criterion in the analysis of measurement chains. Meas Tech 53, 949–955 (2010). https://doi.org/10.1007/s11018-010-9603-x
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11018-010-9603-x