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. In this article, the logarithmic Pareto distribution, a logarithmic transformation of the Pareto distribution, is pres...

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Autor principal:	Kayid Mohamed
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	pareto distribution logarithmic transformation maximum likelihood estimation Physics QC1-999
Acceso en línea:	https://doaj.org/article/e09f4da9c06e45a8b3207f23497a3074
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spelling	oai:doaj.org-article:e09f4da9c06e45a8b3207f23497a30742021-12-05T14:11:02ZSome common and dynamic properties of logarithmic Pareto distribution with applications2391-547110.1515/phys-2021-0082https://doaj.org/article/e09f4da9c06e45a8b3207f23497a30742021-11-01T00:00:00Zhttps://doi.org/10.1515/phys-2021-0082https://doaj.org/toc/2391-5471The 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. In this article, the logarithmic Pareto distribution, a logarithmic transformation of the Pareto distribution, is presented and studied. The moments, percentiles, skewness, kurtosis, and some dynamic measures such as hazard rate, mean residual life, and quantile residual life are discussed. The parameters were estimated by quantile and maximum likelihood methods. A simulation study was conducted to investigate the efficiency, consistency, and behavior of the maximum likelihood estimator. Finally, the proposed distribution was fitted to some datasets to show its usefulness.Kayid MohamedDe Gruyterarticlepareto distributionlogarithmic transformationmaximum likelihood estimationPhysicsQC1-999ENOpen Physics, Vol 19, Iss 1, Pp 669-678 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	pareto distribution logarithmic transformation maximum likelihood estimation Physics QC1-999
spellingShingle	pareto distribution logarithmic transformation maximum likelihood estimation Physics QC1-999 Kayid Mohamed Some common and dynamic properties of logarithmic Pareto distribution with applications
description	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. In this article, the logarithmic Pareto distribution, a logarithmic transformation of the Pareto distribution, is presented and studied. The moments, percentiles, skewness, kurtosis, and some dynamic measures such as hazard rate, mean residual life, and quantile residual life are discussed. The parameters were estimated by quantile and maximum likelihood methods. A simulation study was conducted to investigate the efficiency, consistency, and behavior of the maximum likelihood estimator. Finally, the proposed distribution was fitted to some datasets to show its usefulness.
format	article
author	Kayid Mohamed
author_facet	Kayid Mohamed
author_sort	Kayid Mohamed
title	Some common and dynamic properties of logarithmic Pareto distribution with applications
title_short	Some common and dynamic properties of logarithmic Pareto distribution with applications
title_full	Some common and dynamic properties of logarithmic Pareto distribution with applications
title_fullStr	Some common and dynamic properties of logarithmic Pareto distribution with applications
title_full_unstemmed	Some common and dynamic properties of logarithmic Pareto distribution with applications
title_sort	some common and dynamic properties of logarithmic pareto distribution with applications
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/e09f4da9c06e45a8b3207f23497a3074
work_keys_str_mv	AT kayidmohamed somecommonanddynamicpropertiesoflogarithmicparetodistributionwithapplications
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Some common and dynamic properties of logarithmic Pareto distribution with applications

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