Abstract
A method for verification of error characteristics containing random components is proposed to be used in metrological trials of measuring devices. This method does not require the knowledge of the prior distribution law of the random error component but nevertheless assures the preassigned guarantees against erroneous decisions. It is based on R. A. Fisher's fiducial probabilities.
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References
S. S. Wilks, Mathematical Statistics, Wiley, N. Y. (1962) (Russian translation, Nauka, Moscow (1967)).
I. V. Modyagin and G. N. Solopchenko, Izmerit. Tekh., No. 9, 10 (1974).
GOST 8.009-84 GSI. Standardized metrological characteristics of measuring devices.
G. P. Klimov, Invariant Methods in Statistics, MGU Press, Moscow (1973).
V. Ya. Ivanova and G. N. Solopchenko, Cybernetics in Measuring Technology, Central Scientific Research Institute of Technical-economic Investigations on Instrument-Making, Moscow (1968).
L. N. Bol'shev and N. V. Smirnov, Tables of Mathematical Statistics, Computing Center, Academy of Sciences USSR, Moscow.
B. Efron, Nontraditional Methods of Multivariate Statistical Analysis, Finansy i Statistika (1988). (Translation of “Efron's papers on bootstrap”, published in American journals and the monograph The JackKnife, the Bootstrap and Other Reseampling Plans, SIAM, Philadelphia (1982)).
I. S. Kirillova, V. Ya. Kreinovich and G. N. Solopchenko, Izmerit. Tekh., No. 7, 5 (1989).
G. N. Solopchenko and V. L. Sobennikov, Izmerit. Tekh., No. 1, 8 (1994).
G. N. Solopchenko, Izmerit. Tekh., No. 10, 9 (1996).
Yu. I. Alimov and V. B. Shaevich, Zh. Anal. Khim.,48, No. 5, 847 (1993).
P. V. Novitskii and I. A. Zograf, Estimation of Errors of Results of Measurements, Energoatomizdat, Leningrad (1985).
I. V. Modyagin and G. N. Solopchenko, Avtometriya, 46 (1971).
A. Wald, Sequential Analysis [Russian translation], Fizmatgiz, Moscow (1960).
Additional information
Translated from Izmeritel'naya Tekhnika, No. 11, pp. 3–8, November, 1997.
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Solopchenko, G.N. Testing statistical hypotheses concerning error characteristics of measuring devices irrespective of the distribution law form. Meas Tech 40, 1029–1037 (1997). https://doi.org/10.1007/BF02505121
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DOI: https://doi.org/10.1007/BF02505121