The 20-60-20 rule

Piotr  Jaworski; Marcin  Pitera

doi:10.3934/dcdsb.2016.21.1149

Article Contents

2016, Volume 21, Issue 4: 1149-1166. Doi: 10.3934/dcdsb.2016.21.1149

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The 20-60-20 rule

Piotr Jaworski^1, and
Marcin Pitera^2,

1.
Institute of Mathematics, University of Warsaw, Banacha 2, 02-097 Warsaw
2.
Institute of Mathematics, Jagiellonian University, S. Łojasiewicza 6, 30-348 Kraków

Received: May 31, 2015

Published: May 2016

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Abstract

In this paper we discuss an empirical phenomena known as the 20-60-20 rule. It says that if we split the population into three groups, according to some arbitrary benchmark criterion, then this particular ratio often implies some sort of balance. From practical point of view, this feature leads to efficient management or control. We provide a mathematical illustration, justifying the occurrence of this rule in many real world situations. We show that for any population, which could be described using multivariate normal vector, this fixed ratio leads to a global equilibrium state, when dispersion and linear dependance measurement is considered.

Keywords:

Mathematics Subject Classification: Primary: 60K30, 91B10, 62A86; Secondary: 91B14, 91B52.

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