Univariate and Bivariate Alpha-Power Transformed Lomax Distribution: Properties and Application
Anmer, Y., Abdelhady, D., shalabi, R. (2022). Univariate and Bivariate Alpha-Power Transformed Lomax Distribution: Properties and Application. EKB Journal Management System, 3(1), 351-396. doi: 10.21608/cfdj.2021.207386
yasser Anmer; dina Abdelhady; rania shalabi. "Univariate and Bivariate Alpha-Power Transformed Lomax Distribution: Properties and Application". EKB Journal Management System, 3, 1, 2022, 351-396. doi: 10.21608/cfdj.2021.207386
Anmer, Y., Abdelhady, D., shalabi, R. (2022). 'Univariate and Bivariate Alpha-Power Transformed Lomax Distribution: Properties and Application', EKB Journal Management System, 3(1), pp. 351-396. doi: 10.21608/cfdj.2021.207386
Anmer, Y., Abdelhady, D., shalabi, R. Univariate and Bivariate Alpha-Power Transformed Lomax Distribution: Properties and Application. EKB Journal Management System, 2022; 3(1): 351-396. doi: 10.21608/cfdj.2021.207386

Univariate and Bivariate Alpha-Power Transformed Lomax Distribution: Properties and Application

المجلة العلمية للدراسات والبحوث المالية والتجارية
Article 11, Volume 3, Issue 1, January 2022, Page 351-396  XML PDF (90.61 MB)
Document Type: المقالة الأصلية
DOI: 10.21608/cfdj.2021.207386
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Authors
yasser Anmerorcid 1; dina Abdelhadyorcid 2; rania shalabi3
11Cairo Higher Institutes in Mokattam
2Tanta University
3The Higher Institute of Managerial Science, 6th of October, Giza, Egypt
Abstract
A new method for adding parameters to a well-established distribution to obtain more flexible new families of distributions is applied to Lomax distribution (LD). This method is known as the Alpha-Power transformation (APT) and introduced by Mahdavi and Kundu (2015). The reliability and statistical properties of the proposed models are studied. Maximum likelihood method of estimation is utilized to obtain the estimators of the population parameters. The extended model is applied on a real data and the results are given and compared to other models. Also, a bivariate distribution was constructed from the proposed distribution using the Farlie-Gumbel-Morgenstern (FGM) copula. Some characteristics of this distribution and the estimation using the maximum likelihood are shown on a real data.
Keywords
Alpha- power transformation; Lomax distribution; moment generating function; maximum likelihood estimation; FGM bivariate Distribution
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