Reyes Jimmy, Arrué Jaime, Venegas Osvaldo, Gómez Héctor W
Departamento de Matemáticas, Facultad de Ciencias Básicas, Universidad de Antofagasta, Antofagasta, Chile.
Departamento de Ciencias Matemáticas y Físicas, Facultad de Ingeniería, Universidad Católica de Temuco, Temuco, Chile.
J Appl Stat. 2021 Sep 14;49(16):4206-4224. doi: 10.1080/02664763.2021.1975661. eCollection 2022.
This work presents an extension of the slash Lindley-Weibull distribution, of which it can be considered a modification. The new family is obtained by using the quotient of two independent random variables: a two-parameter Lindley-Weibull distribution divided by a power of the exponential distribution with parameter equal to 2. We present the pdf and cdf of the new distribution, analyzing their risk functions. Some statistical properties are studied and the moments and coefficients of asymmetry and kurtosis are shown. The parameter estimation problem is carried out by the maximum likelihood method. The method is assessed by a Monte Carlo simulation study. We use nutrition data, which are characterized by high kurtosis, to illustrate the usefulness of the proposed model.
本文介绍了斜Lindley-Weibull分布的一种扩展，可将其视为一种修正。新的分布族是通过使用两个独立随机变量的商得到的：一个双参数Lindley-Weibull分布除以参数等于2的指数分布的幂。我们给出了新分布的概率密度函数（pdf）和累积分布函数（cdf），并分析了它们的风险函数。研究了一些统计性质，并给出了矩、不对称系数和峰度系数。参数估计问题采用最大似然法进行。该方法通过蒙特卡罗模拟研究进行评估。我们使用具有高峰度特征的营养数据来说明所提出模型的实用性。
