Document Type
Article
Publication Date
11-2021
Publisher
Canadian Center of Science and Education
Source Publication
International Journal of Statistics and Probability
Source ISSN
1927-7032
Abstract
In this article, additional properties of the Gumbel-Burr XII distribution, denoted by (GBXII(L)), defined in (Osatohanmwen et al., 2017), are studied. We consider some useful characterizations for the GBXII(L) distribution and some of its properties. A simulation study is conducted to assess the performance of the MLEs and the usefulness of the GBXII(L) distribution is illustrated by means of three real data sets. The simulation study suggests that the maximum likelihood method can be used to estimate the distribution parameters, and the three examples show that the GBXII(L) is very flexible in fitting different shapes of data. A log-GBXII(L) regression model is proposed and a survival data is used in an application of the proposed regression model. The log-GBXII(L) regression model is adequate and can be used in comparison to other models.
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
Al-Aqtash, Raid; Mallick, Avishek; Hamedani, Gholamhossein; and Aldeni, Mahmoud, "On the Gumbel-Burr XII Distribution: Regression and Application" (2021). Mathematical and Statistical Science Faculty Research and Publications. 79.
https://epublications.marquette.edu/math_fac/79
Comments
Published version. International Journal of Statistics and Probability, Vol. 10, No. 6 (November 2021). DOI. © 2021 The Author(s) and first publishing rights to Canadian Center of Science and Education. Used with permission.