Physical/pictoral interpretation of higher-order moments

I’m preparing a presentation about parallel statistics. I plan to illustrate the formulas for distributed computation of the mean and variance with examples involving center of gravity and moment of inertia. I’m wondering if there is a physical interpretation of the third or higher central moments that I can use to help illustrate the general formula.

Answer

If by graphical representation you meant histograms, I gather this is the best approach to provide a visual display of the moments. Please be aware we cannot specify any value for kurtosis. But there is a formula to provide kurtosis under random simulations.

Being k = kurtosis, sk = skewness, the formula is: k > sk^2 +1.

Below, a histogram with the specifications.

enter image description here

Attribution
Source : Link , Question Author : James Koppel , Answer Author : Marcos

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