Working Paper Article Version 1 This version is not peer-reviewed

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.

Subject Areas

Central tendency; Weighted geometric mean; means; variance; non-parametric statistics

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