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Aerospace Instrument-Making

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MATHEMATICAL-STATISTICAL BASICS OF THE EVALUATION OF MEASURING INSTRUMENTS METROLOGICAL CHARACTERISTICS USING REDUCED DATA
M.A. Levchenko M.M. Levchenko

The theoretical basis of evaluation of the metrological characteristics of measuring
devices, such as smart metering systems and sensors, in a passive metrological experiment,
that is, when the reset exactly the same reference value of the measured
quantity is not possible. In such conditions often repeated measurements are recorded
at the points of a measuring range, close to the fixed points for multiple executions
of the forward and reverse strokes. The presented approach is characterized
by a procedure which reduces the results of measurements to the fixed points
on the condition that the random error component of the measurement results is
50 АВИАКОСМИЧЕСКОЕ ПРИБОРОСТРОЕНИЕ, 2015 г. № 6
subject to the normal distribution law. A theorem on the unbiasedness of reduced
data that obey normal distribution and are characterized by nonuniformly precise is
formulated and proved. In addition to the probability aspect of the approach, its
computational side is considered, i.e. the measurements processing algorithms
proper that are recommended to use and allow you to extract the maximum information
about the metrological characteristics of the tested measuring instrument, to
carry out parametric identification of its conversion function and to minimize the
intrinsic error in a passive metrological experiment.
Key words: metrological characteristics, measuring instrument, evaluation, reduced data, uniformly precise,
bias, normal distribution law.

Contacts: E-mail: imeasure13@gmail.com

Pp. 49-55.

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