Work

Modified Kies power Lomax model with applications in different sciences

Year: 2024

Type: article

Abstract: This article proposes a new probability statistical model called the modified Kies power Lomax (MKP_Lo) model. Some statistical essentials of the MKP_Lo distribution, such as the quantile function, moments, mean, variance, skewness, kurtosis , moment generating function, ordered statistics and measures of entropy are computed. Point and interval estimation is proposed utilizing the maximum likelihood approach of estimation to study the behavior of the model parameters for the MKP_Lo distribution. A Monte Carlo simulation study is carried out to evaluate the performance of estimators. Finally, applications using four real datasets in different fields are demonstrated to illustrate the applicability and usefulness of the MKP_Lo distribution. The MKP_Lo model compared to some well-known statistical models such as; modified kies Lomax, exponentiated Lomax, odd exponential Lomax, odd generalized exponential Lomax, exponentiated Weibull Lomax, Weibull Lomax, arctan Kavya–Manoharan power Lomax, alpha power transformed generalized Lomax, alpha power transformed Lomax, Gull alpha power transformed log–logistic, alpha power transformed log–logistic, alpha power transformed power Lindley and alpha power transformed power Lindley models and it gives best fit for all datasets.

Source: Journal of Radiation Research and Applied Sciences

DOI: 10.1016/j.jrras.2024.101239

Authors: Amani Abdullah Alahmadi, Ramadan A. ZeinEldin, Olayan Albalawi, Majdah Mohammed Badr, Tagreed Awad Abdelhalim Abdelfadel, Ahmed W. Shawki