Mean absolute deviation (about mean) metric for kurtosis
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Date
2024-09-16
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E. Pinsky. "Mean Absolute Deviation (About Mean) Metric for Kurtosis" Advance Research in Sciences (ARS), Volume 2, Issue 2, pp.1-3. https://doi.org/10.54026/ars/1021
Abstract
In this paper, we introduce a MAD (about mean) alternative metric to classical kurtosis. Using the formula for mean absolute deviation, we identify two special points and construct the corresponding distributions with these reference points as their means. The proposed alternative is computed from mean absolute deviations for these distributions. These measures are bounded, require only the existence of first-order moments, and are easy to interpret. We illustrate the computation of these measures for several well-known distributions.
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This article is distributed under the terms of the Creative Commons Attribution 4.0 International.