On the unit Burr-XII distribution with the quantile regression modeling and applications

• Published in: Computational & applied mathematics Vol. 40; no. 1
• Main Authors: Korkmaz, Mustafa Ç., Chesneau, Christophe
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 01.02.2021; Springer Nature B.V
• Subjects: Applications of Mathematics; Applied physics; Computational mathematics; Computational Mathematics and Numerical Analysis; Mathematical Applications in Computer Science; Mathematical Applications in the Physical Sciences; Mathematics; Mathematics and Statistics; Modelling; Parameter estimation; Regression models; Statistical analysis; Data analysis; Burr-XII distribution; Regression model; Probability weighted moments; Stochastic ordering; Recovery rate; Viable CD34+ cells; 62F10; Unit distribution; 62E15; Order statistics; 60E05
• ISSN: 2238-3603; 1807-0302
• DOI: 10.1007/s40314-021-01418-5

In this paper, we modify the Burr-XII distribution through the inverse exponential scheme to obtain a new two-parameter distribution on the unit interval called the unit Burr-XII distribution. The basic statistical properties of the newly defined distribution are studied. Parameters estimation is dealt and different estimation methods are assessed through two simulation studies. A new quantile regression model based on the proposed distribution is introduced. Applications of the proposed distribution and its regression model to real data sets show that the proposed models have better modeling capabilities than competing models.