Midrange as estimator of measured value for samples from population of uniform and Flatten-Gaussian distributions

Zygmunt L. Warsza, Stefan Kubisa

Abstract

In this paper the statistical properties of midrange as estimator of measured value, for the samples of varying number of observations taken from a population of uniform distribution, were examined by the Monte Carlo simulation. The midrange of such samples had a smaller standard deviation than the mean value recommended by the Guide GUM (Fig. 1). A distribution similar to Student’s t-distribution and an expanded uncertainty were also calculated for such samples (chapters 3 and 4). In chapter 5 it was found that for samples from the general population of Flatten-Gaussian distribution, with increasing share of the normal distribution, the advantage of midrange quickly decreased. Considerations have been illustrated by figures. Final conclusions have been enclosed.

Keywords

uniform pdf, estimator of measurand, midrange, uncertainty.

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IMEKO TC

TC4 - Measurement of Electrical Quantities

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