Article
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Weighted Geometric Mean and its Properties
Version 1
: Received: 5 April 2021 / Approved: 6 April 2021 / Online: 6 April 2021 (14:02:04 CEST)
How to cite: Turchyn, I. Weighted Geometric Mean and its Properties. Preprints 2021, 2021040181 Turchyn, I. Weighted Geometric Mean and its Properties. Preprints 2021, 2021040181
Abstract
Various means (the arithmetic mean, the geometric mean, the harmonic mean, the power means) are often used as central tendency statistics. A new statistic of such type is offered for a sample from a distribution on the positive semi-axis, the gamma-weighted geometric mean. This statistic is a certain weighted geometric mean with adaptive weights.
Keywords
Central tendency; Weighted geometric mean; means; variance; non-parametric statistics
Subject
Computer Science and Mathematics, Algebra and Number Theory
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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