The unit generalized log Burr XII distribution: properties and application

In this paper, a three-parameter bounded unit distribution with flexible hazard rate called the generalized log Burr XII (UGLBXII) is derived. To show importance of proposed distribution, we establish some its mathematical properties such as random number generator, ordinary moments, TL conditional reliability and uncertainty measures. We characterize UGLBXII via innovative techniques. also present bivariate‐ multivariate‐type distributions Morgenstern (Mor) family Clayton family. Six estimation methods maximum likelihood, product spacings, least squares, weighted Cramer-von Mises Anderson-Darling are adopted to estimate unknown parameters. perform simulation studies on basis graphical results see performance above estimators. Two real data sets considered prove empirical superiority model.