On Burr III Marshal Olkin Family: Development, Properties, Characterizations and Applications

Authors

Fiaz Ahmad Bhatti, National College of Business Administration and EconomicFollow
Gholamhossein G. Hamedani, Marquette UniversityFollow
Mustafa Ç. Korkmaz, Artvin Çoruh University
Gauss M. Cordeiro, Universidade Federal de Pernambuco-Brazil
Haitham M. Yousof, Benha University
Munir Ahmad, National College of Business Administration and Economics, LahoreFollow

Document Type

Article

Language

eng

Publication Date

2019

Publisher

Springer

Source Publication

Journal of Statistical Distributions and Applications

Source ISSN

2582-0230

Abstract

In this paper, a flexible family of distributions with unimodel, bimodal, increasing, increasing and decreasing, inverted bathtub and modified bathtub hazard rate called Burr III-Marshal Olkin-G (BIIIMO-G) family is developed on the basis of the T-X family technique. The density function of the BIIIMO-G family is arc, exponential, left- skewed, right-skewed and symmetrical shaped. Descriptive measures such as quantiles, moments, incomplete moments, inequality measures and reliability measures are theoretically established. The BIIIMO-G family is characterized via different techniques. Parameters of the BIIIMO-G family are estimated using maximum likelihood method. A simulation study is performed to illustrate the performance of the maximum likelihood estimates (MLEs). The potentiality of BIIIMO-G family is demonstrated by its application to real data sets.

Comments

Published version. Journal of Statistical Distributions and Applications, Vol. 6, (2019): Article 12. DOI. © 2019 Springer. Used with permission. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Recommended Citation

Bhatti, Fiaz Ahmad; Hamedani, Gholamhossein G.; Korkmaz, Mustafa Ç.; Cordeiro, Gauss M.; Yousof, Haitham M.; and Ahmad, Munir, "On Burr III Marshal Olkin Family: Development, Properties, Characterizations and Applications" (2019). College of Nursing Faculty Research and Publications. 709.
https://epublications.marquette.edu/nursing_fac/709