Alpha Power Transformed Inverse Lomax Distribution with Different Methods of Estimation and Applications. (27th February 2020)

• Record Type: Journal Article
• Authors: ZeinEldin, Ramadan A.; Ahsan ul Haq, Muhammad; Hashmi, Sharqa; Elsehety, Mahmoud
• Other Names: Zhu Quanmin Academic Editor.
• Is Part Of: Complexity. Volume 2020(2020)
• Publication Date: 2020-02-27
• Subjects: Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1155/2020/1860813
• Languages: English
• ISSNs: 1076-2787

Abstract

Abstract : In this paper, a new three-parameter lifetime distribution, alpha power transformed inverse Lomax (APTIL) distribution, is proposed. The APTIL distribution is more flexible than inverse Lomax distribution. We derived some mathematical properties including moments, moment generating function, quantile function, mode, stress strength reliability, and order statistics. Characterization related to hazard rate function is also derived. The model parameters are estimated using eight estimation methods including maximum likelihood, least squares, weighted least squares, percentile, Cramer–von Mises, maximum product of spacing, Anderson–Darling, and right-tail Anderson–Darling. Numerical results are calculated to compare the performance of these estimation methods. Finally, we used three real-life datasets to show the flexibility of the APTIL distribution.