title: The beta Burr type X distribution properties with application.
abstract: We develop a new continuous distribution called the beta-Burr type X distribution that extends the Burr type X distribution. The properties provide a comprehensive mathematical treatment of this distribution. Further more, various structural properties of the new distribution are derived, that includes moment generating function and the rth moment thus generalizing some results in the literature. We also obtain expressions for the density, moment generating function and rth moment of the order statistics. We consider the maximum likelihood estimation to estimate the parameters. Additionally, the asymptotic confidence intervals for the parameters are derived from the Fisher information matrix. Finally, simulation study is carried at under varying sample size to assess the performance of this model. Illustration the real dataset indicates that this new distribution can serve as a good alternative model to model positive real data in many areas.
authors.affiliation: Department of Mathematics, Faculty of Natural Science and Mathematics, University of Mitrovica "Isa Boletini", Str. Industrial Park, 40000 Mitrovica, Republic of Kosovo.
authors.forename: Faton
authors.initials: F
authors.lastname: Merovci
authors.affiliation: Department of Mathematics, Faculty of Science, University Putra Malaysia, 43400 Serdang, Salangor Malaysia.
authors.forename: Mundher Abdullah
authors.initials: MA
authors.lastname: Khaleel
authors.affiliation: Department of Mathematics, Faculty of Science, University Putra Malaysia, 43400 Serdang, Salangor Malaysia ; Laboratory of Computational Statistics and Operations Research, Institute for Mathematical Research, University Putra Malaysia, Serdang, Malaysia.
authors.forename: Noor Akma
authors.initials: NA
authors.lastname: Ibrahim
authors.affiliation: Department of Mathematics, Faculty of Science, University Putra Malaysia, 43400 Serdang, Salangor Malaysia ; Laboratory of Computational Statistics and Operations Research, Institute for Mathematical Research, University Putra Malaysia, Serdang, Malaysia.
authors.forename: Mahendran
authors.initials: M
authors.lastname: Shitan
keywords: Estimation; Moment; Order statistics; Quantile function