A New Generalization of Garima Distribution with Application to Real Life Data

Authors

Maryam Mohiuddin, Department of Statistics, Annamalai University, Annamalai Nagar, Tamil Nadu-608002, IndiaFollow
Hilal Al Bayatti, College of Computer Sciences Applied Science University, P.O. Box 5055, Kingdom of BahrainFollow
R. Kannan, Department of Statistics, Annamalai University, Annamalai Nagar, Tamil Nadu-608002, IndiaFollow

Author Country (or Countries)

India

Abstract

In this paper, we proposed a new distribution based on Garima distribution called as Alpha Power Transformed Garima distribution by using a technique developed by Mahdavi and Kundu. Some of the reliability and statistical properties of the distribution are obtained such as reliability function, hazard function, order statistics, Bonferroni and Lorenz curve. Model parameters are estimated by maximum likelihood and the least square method. Finally, the real-life data sets are investigated to know the performance and flexibility of this distribution.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/150506

Recommended Citation

Mohiuddin, Maryam; Al Bayatti, Hilal; and Kannan, R. (2021) "A New Generalization of Garima Distribution with Application to Real Life Data," Applied Mathematics & Information Sciences: Vol. 15: Iss. 5, Article 6.
DOI: http://dx.doi.org/10.18576/amis/150506
Available at: https://digitalcommons.aaru.edu.jo/amis/vol15/iss5/6