Document Type
Article
Publication Date
7-12-2021
Publisher
AIMS Press
Source Publication
AIMS Mathematics
Abstract
In this paper, a three-parameter bounded unit distribution with a flexible hazard rate called the unit generalized log Burr XII (UGLBXII) distribution is derived. To show the importance of the proposed distribution, we establish some of its mathematical properties such as random number generator, ordinary moments, generalized TL moments, conditional moments, reliability and uncertainty measures. We characterize the UGLBXII distribution via innovative techniques. We also present the bivariate‐ and multivariate‐type distributions via Morgenstern (Mor) family and via Clayton family. Six estimation methods such as the maximum likelihood, maximum product spacings, least squares, weighted least squares, Cramer-von Mises and Anderson-Darling methods are adopted to estimate its unknown parameters. We perform simulation studies on the basis of the graphical results to see the performance of the above estimators. Two real data sets are considered to prove the empirical superiority of the proposed model.
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
Bhatti, Fiaz Ahmad; Ali, Azeem; Hamedani, Gholamhossein; Korkmaz, Mustafa Ç.; and Ahmad, Munir, "The Unit Generalized Log Burr XII Distribution: Properties and Application" (2021). Mathematical and Statistical Science Faculty Research and Publications. 81.
https://epublications.marquette.edu/math_fac/81
Comments
Published version. AIMS Mathematics, Vol. 6, No. 9 (July 12, 2021): 10222-10252. DOI. © 2021 the Author(s), licensee AIMS Press. Used with permission.
This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0).