The Extended Alpha Power Transformed Family of Distributions: Properties and Applications

Authors

Zubair Ahmad, Yazd UniversityFollow
Muhammad Ilyas, University of Malakand
Gholamhossein G. Hamedani, Marquette UniversityFollow

Document Type

Article

Language

eng

Publication Date

2019

Publisher

Columbia University Department of Statistics

Source Publication

Journal of Data Science

Source ISSN

1680-743X

Original Item ID

10.6339/JDS.201910_17(4).0006

Abstract

In this article, a new family of lifetime distributions by adding an additional parameter to the existing distributions is introduced. The new family is called, the extended alpha power transformed family of distributions. For the proposed family, explicit expressions for some mathematical properties along with estimation of parameters through Maximum likelihood Method are discussed. A special sub-model, called the extended alpha power transformed Weibull distribution is considered in detail. The proposed model is very flexible and can be used to model data with increasing, decreasing or bathtub shaped hazard rates. To access the behavior of the model parameters, a small simulation study has also been carried out. For the new family, some useful characterizations are also presented. Finally, the potentiality of the proposed method is shown via analyzing two real data sets taken from reliability engineering and bio-medical fields.

Comments

Published version. Journal of Data Science, Vol. 17, No. 4 (2019): 726-741. DOI. © 2019 Columbia University Department of Statistics. Used with permission.

Recommended Citation

Ahmad, Zubair; Ilyas, Muhammad; and Hamedani, Gholamhossein G., "The Extended Alpha Power Transformed Family of Distributions: Properties and Applications" (2019). Mathematical and Statistical Science Faculty Research and Publications. 61.
https://epublications.marquette.edu/math_fac/61