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1990
Using certain data on personal income, V. Pareto (1897) plotted income on the abscissa and the number of people who received more than that on the ordinate of logarithmic paper and found a roughly linear relation. This Pareto distribution or ‘Pareto law’ may be written as $$x = a\,{y^{ - \alpha }}\,{\text{or}}\,\log \,x = a' - \alpha \,\log \,y$$
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Using certain data on personal income, V. Pareto (1897) plotted income on the abscissa and the number of people who received more than that on the ordinate of logarithmic paper and found a roughly linear relation. This Pareto distribution or ‘Pareto law’ may be written as $$x = a\,{y^{ - \alpha }}\,{\text{or}}\,\log \,x = a' - \alpha \,\log \,y$$
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On Statistical Estimations for the Pareto Distribution
Journal of Mathematical Sciences, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Pareto ordering of distributions
Journal of Mathematical Economics, 1978Abstract In this paper, the state of an economy is described by a production plan and a distribution on the product space of agents' characteristics and the commodity space. An ordering on the set of states will be introduced and after a study of the structure of this ordering it will be shown that the close relationship between price equilibria and ...
Reif, Nicolaus, Wiesmeth, Hans
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On estimation for the Pareto distribution
Statistical Methodology, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
He, Hui, Zhou, Na, Zhang, Ruiming
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Bivariate distributions with pareto conditionals
Statistics & Probability Letters, 1987For a fixed \(\alpha >0\), the totality of bivariate densities with all conditionals being of the Pareto (\(\alpha)\) form is identified. The resulting family is of the form \[ f(x,y)\propto [1+\lambda_ 1x+\lambda_ 2y+\phi \lambda_ 1\lambda_ 2xy]^{-(\alpha +1)} \] for suitable choices of \(\lambda_ 1\), \(\lambda_ 2\) and \(\phi\).
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Journal of the American Statistical Association, 1988
Henrick J. Malik, Barry C. Arnold
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Henrick J. Malik, Barry C. Arnold
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A review of Pareto pruning methods for multi-objective optimization
Computers and Industrial Engineering, 2022Sanyapong Petchrompo +2 more
exaly
Journal of the Royal Statistical Society. Series A (Statistics in Society), 1989
D. N. Shanbhag, B. C. Arnold
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D. N. Shanbhag, B. C. Arnold
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On Pareto-optimality in the cross-efficiency evaluation
European Journal of Operational Research, 2021Tong Ye, Mostafa Davtalab-Olyaie
exaly