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We propose a novel diffusion process having a mean function equal to the Pareto probability density function up to a constant of proportionality. We examine the probabilistic properties of the proposed model. Then, referring to the problem of statistical
Nafidi Ahmed +3 more
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Some common and dynamic properties of logarithmic Pareto distribution with applications
The Pareto distribution satisfies the power law, which is widely used in physics, biology, earth and planetary sciences, economics, finance, computer science, and many other fields.
Kayid Mohamed
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Manufacturing Firm Size Distribution in Iran Evidence from Food & Beverages and Non-Metallic Mineral Products [PDF]
Empirical studies have shown that the size distribution of firms can be described as a lognormal or Pareto distribution. However, these studies have focused on developed countries and little attention has been devoted to developing countries.
Mohammad Ali Feizpour, Marjan Habibi
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Sufficient statistics for the Pareto distribution parameter
The task of estimating the parameters of the Pareto distribution, first of all, of an indicator of this distribution for a given sample, is relevant.
I. S. Pulkin, A. V. Tatarintsev
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Modified Weighted Pareto Distribution Type I (MWPDTI)
In this paper, the Azzallini’s method used to find a weighted distribution derived from the standard Pareto distribution of type I (SPDTI) by inserting the shape parameter (θ) resulting from the above method to cover the period (0, 1] which was neglected
Mahmood A. Sahmran
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The composite length-biased exponential-Pareto (CLBEP) distribution is a new composite distribution that is introduced in this article. This model's probability density function, moments, and quantiles, among other statistical characteristics, are ...
Moulouk Halima Benchettah +2 more
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APT-Pareto Distribution and its Properties
Recently, the APT-family has been introduced as a new family ofdistributions. A special case of this family with exponential distribution isexamined in details. In this paper, Pareto is considered as a baselinedistribution in APT-family.
İsmail Kınacı +3 more
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Discrete New Generalized Pareto Distribution
In this paper we propose a discrete analogue of New Generalized Pareto distribution as a new discrete model using general approach of discretization of continuous distribution. The structural properties of the new distribution are discussed.
Kuttan Pillai Jayakumar, Jiji Jose
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On the Bivariate Composite Gumbel–Pareto Distribution
In this paper, we propose a bivariate extension of univariate composite (two-spliced) distributions defined by a bivariate Pareto distribution for values larger than some thresholds and by a bivariate Gumbel distribution on the complementary domain.
Alexandra Badea +2 more
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Multivariate Pareto Distributions
It is well known that the family of Pareto distributions with densities \begin{equation*}\begin{align*}f(x; a, p) = pa^p/x^{p+1},\qquad x > a > 0, \\ = (1.1) \\ 0,\qquad x \leqq a, p > 0,\end{align*}\end{equation*} provides reasonably good fits to many empirical distributions, e.g., to distributions of income and of property values.
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