Open AccessOn the Gumbel-Burr XII Distribution: Regression and Application
Author(s) -
Raid Al-Aqtash,
Avishek Mallick,
G. G. Hamedani,
Mahmoud Aldeni
Publication year - 2021
Publication title -
international journal of statistics and probability
Language(s) - English
Resource type - Journals
eISSN - 1927-7040
pISSN - 1927-7032
DOI - 10.5539/ijsp.v10n6p31
Subject(s) - gumbel distribution , mathematics , statistics , regression , regression analysis , maximum likelihood , distribution (mathematics) , extreme value theory , mathematical analysis
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.