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Exponentiated Pareto distributions
Statistics, 2005Most Pareto distributions are defined on one side of the real line. For wider applicability, we introduce five exponentiated Pareto distributions and derive several of their properties including the moment generating function, expectation, variance, skewness, kurtosis, Shannon entropy, and the Renyi entropy.
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Statistics, 2008
In this paper, a four-parameter beta-Pareto distribution is defined and studied. Various properties of the distribution are discussed. The distribution is found to be unimodal and has either a unimodal or a decreasing hazard rate. The expressions for the mean, mean deviation, variance, skewness, kurtosis and entropies are obtained.
Alfred Akinsete, Felix Famoye, Carl Lee
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In this paper, a four-parameter beta-Pareto distribution is defined and studied. Various properties of the distribution are discussed. The distribution is found to be unimodal and has either a unimodal or a decreasing hazard rate. The expressions for the mean, mean deviation, variance, skewness, kurtosis and entropies are obtained.
Alfred Akinsete, Felix Famoye, Carl Lee
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, 2020
This paper presents a new hybrid multi-objective optimization algorithm for optimal placement and sizing of Renewable Energy Generations (here, photovoltaic system) in distribution networks.
A. Parizad, Konstadinos. J. Hatziadoniu
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This paper presents a new hybrid multi-objective optimization algorithm for optimal placement and sizing of Renewable Energy Generations (here, photovoltaic system) in distribution networks.
A. Parizad, Konstadinos. J. Hatziadoniu
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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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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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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 q-pareto distribution: some properties and application to earthquakes
, 2021E. Barra, P. Vega-Jorquera
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EXPONENTIAL-PARETO MIXTURE DISTRIBUTION
2023In this paper we introduce the Exponential-Pareto mixture distribution. This distribution is associated as mixture of light and heavy-tailed data which arise in a wide class applications including risk analysis. Characteristic function, failure rate function, mean excess, conditional excess distribution are derived.
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Pareto and Income Distribution
SSRN Electronic Journal, 2000Internal parameters of Pareto's distribution of income have not been developed in depth. Here, its mathematical sense is analized; adimensional expressions of income probability are derived, as also the correlation between Pareto's coefficient and Gini's coefficient.
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