A modified power-law model: Properties, estimation, and applications

Abstract: Models of various physical, biological, and artificial phenomena follow a power law over multiple magnitudes. This article presents a modified Pareto model with an upside-down shape and an adjustable right tail. The moments, quantiles, failure rate, mean residual life, and quantile residual life functions are examined. In addition, some stochastic ordering characteristics of the proposed model are investigated. The estimation of the parameters using the maximum likelihood estimator, the mean square error, and the Anderson–Darling estimator is explored, and a simulation study is conducted to analyze their behavior. Finally, we compare the proposed model with alternative methods for describing a dataset on the strength of carbon fiber and a dataset on customer waiting times in a bank.

Object Details

• Location: Deutsche Nationalbibliothek Frankfurt am Main
• Extent: Online-Ressource
• Language: Englisch

References and Relationships

• Bibliographic citation: A modified power-law model: Properties, estimation, and applications ; volume:21 ; number:1 ; year:2023 ; extent:14 ; Open physics ; 21, Heft 1 (2023) (gesamt 14)

Contributors, Places and Time

• Creator: Shrahili, Mansour ; Kayid, Mohamed

Further information

• DOI: 10.1515/phys-2022-0266
• URN: urn:nbn:de:101:1-2023071414155216939010
• Rights: Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
• Last update: 14.08.2025, 11:00 AM CEST