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On the Borders of Applicability of the Weighted Mean in Processing Measurement Results Cover

On the Borders of Applicability of the Weighted Mean in Processing Measurement Results

Measurement Science Review
Volume 8 (2008): Issue 1 (February 2008)
By:   
Open Access
|Mar 2008
Abstract

Abstract

A theorem on the law of large numbers for the estimator of the mean weighted first (initial) moment of the joint distribution of independent random variables is proved. The conditions for statistical stability of this moment and consistency of its mean weighted estimator are established.

DOI: https://doi.org/10.2478/v10048-008-0003-1 | Journal eISSN: 1335-8871
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Language: English
Page range: 11 - 13
Published on: Mar 7, 2008
Published by: Slovak Academy of Sciences, Institute of Measurement Science
In partnership with: Paradigm Publishing Services
Publication frequency: Volume open
Keywords:
estimated (measured) physical quantity,
mean weighted,
random variables,
consistency
Related subjects:
Engineering,
Electrical engineering,
Control engineering, metrology and testing

© 2008 E. Eremin, published by Slovak Academy of Sciences, Institute of Measurement Science
This work is licensed under the Creative Commons License.

Volume 8 (2008): Issue 1 (February 2008)