Weighted Geometric Mean and its Properties

Ievgen Turchyn

Preprint

Article

Weighted Geometric Mean and its Properties

This version is not peer-reviewed.

Ievgen Turchyn^*

This version is not peer-reviewed.

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Submitted:

05 April 2021

Posted:

06 April 2021

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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 open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.

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401

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