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New parameters can be added to expand families of distribution for greater flexibility or to construct covariate models in several ways. In this paper, a trigonometric-type distribution was developed to generate a flexible distribution without adding additional parameters taking the Burr XII distribution as the base distribution. The new distribution is called the Sine-Burr XII distribution. Some of the mathematical properties of this distribution such as the moment, moment generating function, entropy and order statistics were derived. The parameters of the new distribution were estimated using the Maximum Likelihood method. The applicability of the Sine-Burr XII distribution was illustrated using two real datasets.
Isa et al. (Tue,) studied this question.