Comparison between Modified Weighted Pareto Distribution and Many other Distributions

  In 2020 one of the researchers in this paper, in his first research, tried to find out the Modified Weighted Pareto Distribution of Type I by using the Azzalini method for weighted distributions, which contain three parameters, two of them for scale while the third for shape.This research compa...

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Main Authors: Mahmood A. Shamran, Asmaa A. Mohammed, Iden H. Alkanani
Format: Article
Language:Arabic
Published: College of Science for Women, University of Baghdad 2023-06-01
Series:Baghdad Science Journal
Subjects:
Online Access:https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/8169
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author Mahmood A. Shamran
Asmaa A. Mohammed
Iden H. Alkanani
author_facet Mahmood A. Shamran
Asmaa A. Mohammed
Iden H. Alkanani
author_sort Mahmood A. Shamran
collection DOAJ
description   In 2020 one of the researchers in this paper, in his first research, tried to find out the Modified Weighted Pareto Distribution of Type I by using the Azzalini method for weighted distributions, which contain three parameters, two of them for scale while the third for shape.This research compared the distribution with two other distributions from the same family; the Standard Pareto Distribution of Type I and the Generalized Pareto Distribution by using the Maximum likelihood estimator which was derived by the researchers for Modified Weighted Pareto Distribution of Type I, then the Mont Carlo method was used–that is one of the simulation manners for generating random samples data in different sizes ( n= 10,30,50), and in different initial values for each Pareto distribution family being used in the research. A comparison was done by using Akaike Information Criteria, Corrected Akaike Information Criteria, and Bayesian Information Criteria
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spelling doaj.art-a1a7b9992ca9434ba50b776a9acb6d9f2023-06-29T19:47:34ZaraCollege of Science for Women, University of BaghdadBaghdad Science Journal2078-86652411-79862023-06-01203(Suppl.)10.21123/bsj.2023.8169Comparison between Modified Weighted Pareto Distribution and Many other DistributionsMahmood A. Shamran0Asmaa A. Mohammed1Iden H. Alkanani2Department of Mathematics, College, and Science for Women, University of Baghdad, Baghdad, IraqDepartment of Mathematics, College, and Science for Women, University of Baghdad, Baghdad, IraqDepartment of Mathematics, College, and Science for Women, University of Baghdad, Baghdad, Iraq   In 2020 one of the researchers in this paper, in his first research, tried to find out the Modified Weighted Pareto Distribution of Type I by using the Azzalini method for weighted distributions, which contain three parameters, two of them for scale while the third for shape.This research compared the distribution with two other distributions from the same family; the Standard Pareto Distribution of Type I and the Generalized Pareto Distribution by using the Maximum likelihood estimator which was derived by the researchers for Modified Weighted Pareto Distribution of Type I, then the Mont Carlo method was used–that is one of the simulation manners for generating random samples data in different sizes ( n= 10,30,50), and in different initial values for each Pareto distribution family being used in the research. A comparison was done by using Akaike Information Criteria, Corrected Akaike Information Criteria, and Bayesian Information Criteria https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/8169Akaike Information Criterion, Bayesian Information Criterion, Corrected Akaike Information Criterion, Generalized Pareto Distribution, Maximum likelihood Estimator, Modified Weighted Pareto Distribution Type I, Standard Pareto Distribution Type I
spellingShingle Mahmood A. Shamran
Asmaa A. Mohammed
Iden H. Alkanani
Comparison between Modified Weighted Pareto Distribution and Many other Distributions
Baghdad Science Journal
Akaike Information Criterion, Bayesian Information Criterion, Corrected Akaike Information Criterion, Generalized Pareto Distribution, Maximum likelihood Estimator, Modified Weighted Pareto Distribution Type I, Standard Pareto Distribution Type I
title Comparison between Modified Weighted Pareto Distribution and Many other Distributions
title_full Comparison between Modified Weighted Pareto Distribution and Many other Distributions
title_fullStr Comparison between Modified Weighted Pareto Distribution and Many other Distributions
title_full_unstemmed Comparison between Modified Weighted Pareto Distribution and Many other Distributions
title_short Comparison between Modified Weighted Pareto Distribution and Many other Distributions
title_sort comparison between modified weighted pareto distribution and many other distributions
topic Akaike Information Criterion, Bayesian Information Criterion, Corrected Akaike Information Criterion, Generalized Pareto Distribution, Maximum likelihood Estimator, Modified Weighted Pareto Distribution Type I, Standard Pareto Distribution Type I
url https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/8169
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AT idenhalkanani comparisonbetweenmodifiedweightedparetodistributionandmanyotherdistributions