Analysis of cryptocurrency exchange rates vs USA dollars using a new Dagum model

This paper offers the introduction of a new updated form of the Dagum distribution. The new updated form of the Dagum model is called a novel generalized-Dagum distribution. The proposed novel generalized-Dagum distribution is a prominent updated form of the Dagum model with a single additional/extr...

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Main Authors: Yongjing Wang, Zubair Ahmad, Faridoon Khan, Dalia Kamal Alnagar, Hassan Alsuhabi, Ibrahim Alkhairy, M. Yusuf
Format: Article
Language:English
Published: Elsevier 2023-02-01
Series:Alexandria Engineering Journal
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1110016822005774
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author Yongjing Wang
Zubair Ahmad
Faridoon Khan
Dalia Kamal Alnagar
Hassan Alsuhabi
Ibrahim Alkhairy
M. Yusuf
author_facet Yongjing Wang
Zubair Ahmad
Faridoon Khan
Dalia Kamal Alnagar
Hassan Alsuhabi
Ibrahim Alkhairy
M. Yusuf
author_sort Yongjing Wang
collection DOAJ
description This paper offers the introduction of a new updated form of the Dagum distribution. The new updated form of the Dagum model is called a novel generalized-Dagum distribution. The proposed novel generalized-Dagum distribution is a prominent updated form of the Dagum model with a single additional/extra parameter. The novel generalized-Dagum model is produced by mixing the Dagum distribution with the novel generalized-M distributions approach. The heavy-tailed properties of the novel generalized-Dagum model are obtained. The derivation of the estimators and a simulation study of the novel generalized-Dagum distribution are also provided. Finally, the novel generalized-Dagum model is illustrated by analyzing two real-life data sets related to the financial sector. The first data set represents the Bitcoin exchange rates vs the United States dollars. Whereas, the second data set represents the Ethereum exchange rates vs the United States dollars. Using the Bitcoin and Ethereum exchange rates data sets, the fitting power of the novel generalized-Dagum model is compared with the transmuted Dagum distribution and a new modified Dagum distribution.
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spelling doaj.art-bb29863bda9842178ba40f32d48b41ea2023-01-05T06:46:10ZengElsevierAlexandria Engineering Journal1110-01682023-02-0164645658Analysis of cryptocurrency exchange rates vs USA dollars using a new Dagum modelYongjing Wang0Zubair Ahmad1Faridoon Khan2Dalia Kamal Alnagar3Hassan Alsuhabi4Ibrahim Alkhairy5M. Yusuf6School of Law, Wuhan University, Wuhan, Hubei Province, ChinaDepartment of Statistics, Quaid-i-Azam University, Islamabad, 45320, PakistanPIDE School of Economics, Islamabad 44000, PakistanDepartment of statistics, Faculty of science, University of Tabuk, Tabuk, Saudi ArabiaDepartment of Mathematics, Al-Qunfudah University College, Umm Al-Qura University, Mecca, Saudi Arabia; Corresponding author.Department of Mathematics, Al-Qunfudah University College, Umm Al-Qura University, Mecca, Saudi ArabiaDepartment of Mathmematics, Faculty of Science, Helwan University, Cairo, EgyptThis paper offers the introduction of a new updated form of the Dagum distribution. The new updated form of the Dagum model is called a novel generalized-Dagum distribution. The proposed novel generalized-Dagum distribution is a prominent updated form of the Dagum model with a single additional/extra parameter. The novel generalized-Dagum model is produced by mixing the Dagum distribution with the novel generalized-M distributions approach. The heavy-tailed properties of the novel generalized-Dagum model are obtained. The derivation of the estimators and a simulation study of the novel generalized-Dagum distribution are also provided. Finally, the novel generalized-Dagum model is illustrated by analyzing two real-life data sets related to the financial sector. The first data set represents the Bitcoin exchange rates vs the United States dollars. Whereas, the second data set represents the Ethereum exchange rates vs the United States dollars. Using the Bitcoin and Ethereum exchange rates data sets, the fitting power of the novel generalized-Dagum model is compared with the transmuted Dagum distribution and a new modified Dagum distribution.http://www.sciencedirect.com/science/article/pii/S1110016822005774Dagum distributionHeay-tailed characteristicsBitcoin exchange ratesEthereum exchange ratesStatistical modeling.
spellingShingle Yongjing Wang
Zubair Ahmad
Faridoon Khan
Dalia Kamal Alnagar
Hassan Alsuhabi
Ibrahim Alkhairy
M. Yusuf
Analysis of cryptocurrency exchange rates vs USA dollars using a new Dagum model
Alexandria Engineering Journal
Dagum distribution
Heay-tailed characteristics
Bitcoin exchange rates
Ethereum exchange rates
Statistical modeling.
title Analysis of cryptocurrency exchange rates vs USA dollars using a new Dagum model
title_full Analysis of cryptocurrency exchange rates vs USA dollars using a new Dagum model
title_fullStr Analysis of cryptocurrency exchange rates vs USA dollars using a new Dagum model
title_full_unstemmed Analysis of cryptocurrency exchange rates vs USA dollars using a new Dagum model
title_short Analysis of cryptocurrency exchange rates vs USA dollars using a new Dagum model
title_sort analysis of cryptocurrency exchange rates vs usa dollars using a new dagum model
topic Dagum distribution
Heay-tailed characteristics
Bitcoin exchange rates
Ethereum exchange rates
Statistical modeling.
url http://www.sciencedirect.com/science/article/pii/S1110016822005774
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