On the developments of Maxwell-Dagum distribution

Document Type : Original Scientific Paper

Authors

1 Department of Statistics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria, Nigeria

2 Department of Statistics, Faculty of Physical Sciences, University of Ilorin, Ilorin, Nigeria

Abstract

The Maxwell-Dagum distribution is a continuous statistical distribution suitable for modeling data sets relating to various fields including finance, business, medical sciences, survival analysis, and related areas. This article aimed to propose some important properties of the Maxwell-Dagum distribution and obtained the parameters of its estimates by using different methods of estimation including maximum likelihood estimation, the maximum product of spacings, least squares estimation, and weighted least squares estimation. The first and second derivatives of this distribution are studied. We present two real data sets relating to the COVID-19 mortality rate belonging to Canada and the waiting time of bank customers to assess the performance  of the proposed distribution. It is discovered that the Maxwell-Dagum distribution can be chosen as the best distribution by having a minimum value of Akaike information and Bayesian information criteria.

Keywords

Journal of Statistical Modelling: Theory and Applications
Volume 2, Issue 2
July 2021
Pages 1-23

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History

  • Receive Date: 11 June 2021
  • Revise Date: 11 December 2021
  • Accept Date: 19 December 2021

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