Moakofi Thatayaone, Oluyede Broderick, Chipepa Fastel
Department of Mathematics and Statistical Sciences, Botswana International University of Science and Technology, Palapye, Botswana.
Heliyon. 2021 Dec 22;7(12):e08590. doi: 10.1016/j.heliyon.2021.e08590. eCollection 2021 Dec.
The aim of this paper is to generalize and study a new family of lifetime distributions in order to gain flexibility. The new generalized distribution is named as type II exponentiated half-logistic Topp-Leone-Marshall-Olkin-G (TIIEHL-TL-MO-G) family of distributions. Several mathematical properties of the new model have been derived including, moments and generating function, distribution of the order statistics and Rényi entropy. The performance of the maximum likelihood estimates is evaluated via a simulation study. Lastly, we apply the generated family to three real data to illustrate the potentiality of this new generalized family of distributions.
本文的目的是推广和研究一个新的寿命分布族，以获得更大的灵活性。新的广义分布被命名为II型指数化半逻辑托普-莱昂内-马歇尔-奥尔金-G（TIIEHL-TL-MO-G）分布族。已经推导了新模型的几个数学性质，包括矩和生成函数、顺序统计量的分布以及雷尼熵。通过模拟研究评估了最大似然估计的性能。最后，我们将生成的分布族应用于三个实际数据，以说明这个新的广义分布族的潜力。
