On The Alpha Power Transformed Quasi Aradhana Distribution: Properties and Applications

Authors

Maryam Mohiuddin, Department of Statistics, Annamalai University, Annamalai nagar, Tamil Nadu – 608 002, IndiaFollow
R. Kannan, Department of Statistics, Annamalai University, Annamalai nagar, Tamil Nadu – 608 002, IndiaFollow
Hatim Solayman Migdadi, Department of Mathematics, The Hashemite University, Al- Zarqa, 13133, JordanFollow
Moaiad Khder, Department of Computer Science, College of Arts and Science, Applied Science University, East Al-Ekir, Kingdom of BahrainFollow

Author Country (or Countries)

India

Abstract

In this study, a new three-parameter lifetime model is proposed with the purpose to obtain more flexible model in terms of hazard rate function. The new model is called the Alpha Power Transformed Quasi Aradhana distribution. The new model has the advantage of being capable modeling various shapes of failure criteria. The distribution has the ability to model both monotone and non-monotone failure rates. It has been proved from the study that the proposed model provides a better fit to the data having monotone as well as non-monotone behavior. Several statistical properties of the model has been derived such as reliability function, hazard function, moments, moment generating function, characteristic function, order statistics, entropies, Bonferroni and Lorenz curves. The parameters of the model are investigated by the method of maximum likelihood estimation technique. The usefulness of the model is demonstrated by using real-life data.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/160207

Recommended Citation

Mohiuddin, Maryam; Kannan, R.; Solayman Migdadi, Hatim; and Khder, Moaiad (2022) "On The Alpha Power Transformed Quasi Aradhana Distribution: Properties and Applications," Applied Mathematics & Information Sciences: Vol. 16: Iss. 2, Article 7.
DOI: http://dx.doi.org/10.18576/amis/160207
Available at: https://digitalcommons.aaru.edu.jo/amis/vol16/iss2/7