Alpha Power Lomax Distribution: Properties and Application

  • Y. Murat Bulut Department of Statistics, Eskisehir Osmangazi University, 26040 Eskisehir/Turkey
  • Fatma Zehra Doğru Department of Statistics, Giresun University, 28200 Giresun/Turkey
  • Olcay Arslan Department of Statistics, Ankara University, 06100 Ankara/Turkey
Keywords: Lomax distribution, alpha power transformation, maximum likelihood estimation

Abstract

This study offers a newly proposed distribution called alpha power Lomax (APL) distribution as a new extension of the Lomax distribution using the alpha power transformation (APT) method. Some distributional properties of newly defined distribution such as density function, moments, hazard and survival functions, orders statistics etc. are investigated. Parameters of the APL distribution are estimated with the help of the maximum likelihood (ML) estimation method. The applicability of the APL distribution is conducted through a simulation study and a real data example.

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Author Biographies

Y. Murat Bulut, Department of Statistics, Eskisehir Osmangazi University, 26040 Eskisehir/Turkey

Y. Murat Bulut received his B.Sc. in Mathematics from Çukurova University, Turkey, M.Sc., and Ph.D. degrees from Eskişehir Osmangazi University, Turkey. He is an assistant professor in the Department of Statistics at Eskişehir Osmangazi University, Turkey, since 2016. His research areas are robust statistics, distribution theory, and generalized linear models.

Fatma Zehra Doğru, Department of Statistics, Giresun University, 28200 Giresun/Turkey

Fatma Zehra Doğru received her B.Sc. and M.Sc. degrees in Statistics and Computer Sciences from the Karadeniz Technical University in 2009 and 2011; and a Ph.D. degree in Statistics from the Ankara University in 2015. She is currently working as an associate professor in the department of statistics at Giresun University, Turkey. Her research interests cover mixture models, mixture regression models, multivariate mixture models, robust statistics, statistical inference, and modeling.

Olcay Arslan, Department of Statistics, Ankara University, 06100 Ankara/Turkey

Olcay Arslan is a full Professor of Statistics at the Department of Statistics, Ankara University, Ankara, Turkey. She received her Ph.D. in Statistics from the University of Leeds, Leeds, UK, in 1993. Prior to joining Ankara University, she was working as a full professor at the department of Statistics, Cukurova University, Adana, Turkey. She was visiting scholar at Rutgers University and visiting professor at St. Cloud State University, St. Cloud, USA. Her principal research areas are robust statistical analysis, multivariate analysis, regression analysis, EM algorithm and distribution theory. She also works on model selection, scale mixtures, mean-variance (location-scatter) mixtures, finite mixtures and linear mixed models. She has published over 75 research papers in international refereed journals and also several book chapters in scientific books. She has been involved in organizing many scientific events devoted to statistics including ICORS 2008 (International conference on robust statistics, 2008) and IC-SMHD-2016 (International conference on information complexity and statistical modeling in high dimensions with application, 2016). She is an area editor of Hacettepe Journal of Mathematics and Statistics (HJMS) and members of the editorial board of several scientific journals on statistics and probability. She is also member of the ICORS steering committee.

Published
2021-03-20
Section
Articles