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Weighted Geometric Mean and its Properties

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.
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