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Pareto Density Distributions
Authors:Kopperer  H C
Institution:(1) P.O.Box 207, Halfway House, 1685 G.P., Rep. of South Africa
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.
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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