Afify Ahmed Z, Cordeiro Gauss M, Maed Mohamed E, Alizadeh Morad, Al-Mofleh Hazem, Nofal Zohdy M
Department of Statistics, Mathematics and Insurance, Benha University, Benha, 13518 Egypt.
Departamento de Estatística, Universidade Federal de Pernambuco, Cidade Universitária, Avenida Prof. Moraes Rego, 1235, 50740-540 Recife, PE, Brazil.
An Acad Bras Cienc. 2019 Aug 12;91(3):e20180040. doi: 10.1590/0001-3765201920180040.
We introduce a new class of continuous distributions called the generalized odd Lindley-G family. Four special models of the new family are provided. Some explicit expressions for the quantile and generating functions, ordinary and incomplete moments, order statistics and Rényi and Shannon entropies are derived. The maximum likelihood method is used for estimating the model parameters. The flexibility of the generated family is illustrated by means of two applications to real data sets.
我们引入了一类新的连续分布，称为广义奇数林德利 - G族。给出了该新族的四个特殊模型。推导了分位数函数、生成函数、普通矩和不完全矩、顺序统计量以及雷尼熵和香农熵的一些显式表达式。使用最大似然法估计模型参数。通过对两个实际数据集的应用说明了所生成族的灵活性。
