Pareto Density Distributions |
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Authors: | Kopperer H C |
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Affiliation: | (1) P.O.Box 207, Halfway House, 1685 G.P., Rep. of South Africa |
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Abstract: | Building on new insights into the genesis ofPareto-Distributions,(“Kopp” effect etc.) as publishedearlier in “Quality and
Quantity”, the author gives at least oneauthentic/definitive Pareto-Formula. A practical example of the synthetic generation
of Pareto Distributions by means of spreadsheets. A working D.I.Y-method for fine-fitting Pareto-curvesto scattergrams with
spreadsheets using interalia an indirect method of the least squares of residuals is fully demonstrated. A comparative test-fit
to a cumulative Pareto- Distribution example, where a simulative curve-formula evolved by Prof. B. Arnold/Ucla is used for
demonstration. Easy to absorb and to retain graphical tableaux are employed to visualize the chain of descent and interconnections
between normal distributions, log-normal distributions and Pareto- Distributions. A quasi-dichotomy of the Pareto-formulae
is presented in tableau-form. One innovative formula for Pareto-distribution is given as:
F(x)= k*e― ((ln(Integral(In(x)))) ‐ (ln(Integral(ln(μ)))))2 / 2*(ln(Integral(ln(σ))))2}
Readers e-mailed constructive opinions &/or inputs are encouraged and welcomed.
This revised version was published online in June 2006 with corrections to the Cover Date. |
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Keywords: | ParetoDistribution “ Kopp” -effect and Pareto Distribution Pareto-Formula Pareto D -Spreadsheet Generation DIY Pareto Distribution-spreadsheet-curvefitting Pareto-Distributions Normal- Log-normal distributions two quasi-clones Paretoid-formulae |
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