Moments, Measures and Metrics

Roger Bowden ()
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Roger Bowden: Kiwicap Research Ltd.

Chapter Chapter 3 in The Information Theory of Comparisons, 2018, pp 57-74 from Springer

Abstract: Abstract Metrics of one kind or another, all potentially important in practice, are the subject of the present chapter. While their substance and usefulness can be established with no specific connection to entropy as such, it turns out that they have a derivational connection with the unit left and right entropic shifts. Based on the conditional left and right moving average functions, spread and asymmetry functions are introduced. Taking expected values, one ends up with dual spread (d) and asymmetry (v) metrics for the original distribution, related in a very simple way to the first moments of the left and right entropically shifted distributions. Applications follow to income distribution and to the economic dynamics of executive remuneration.

Date: 2018
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DOI: 10.1007/978-981-13-1550-3_3

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