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.
Download:
IMEKO-TC4-2014-369.pdf
DOI:
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Event details
IMEKO TC:
TC4
Event name:
TC4 Symposium 2014
Title:

20th IMEKO TC4 Symposium on Measurements of Electrical Quantities (together with 18th TC4 International Workshop on ADC and DCA Modeling and Testing, IWADC)
"Research on Electrical and Electronic Measurement for the Economic Upturn"

Place:
Benevento, ITALY
Time:
15 September 2014 - 17 September 2014