Value Measurement in Statistically Uncertain Conditions

摘要

A mathematical model for measuring values has been proposed taking into account the uncertainty of statistical conditions of forming the measured value and its estimate. This model is based on presenting measured value and its estimate as hyper-random values. The point and interval methods of estimating hyper-random values have been developed. The notions of biased, consistent and efficient estimates were extended to the case of hyper-random estimates. The potential accuracy of measurements was investigated. It was shown that under the conditions of statistically uncertain conditions the potential accuracy of value measurement was limited and determined by the parameters of estimate bias.