分布的Topp-Leone Alpha幂族

H. E. Hozaien, G. Al-Dayian, E. Yehia, A. EL-Helbawy
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引用次数: 1

摘要

本文基于Mahdavi和Kundu(2016)提出的alpha功率变换方法,提出了Topp-Leone alpha功率族分布。Topp-Leone alpha幂族分布丰富且灵活,可用于数据建模。研究了该类的一些统计性质,包括分位数函数、矩和矩生成函数、平均剩余寿命和阶数统计量。此外,本文的结果专门针对Topp-Leone alpha幂威布尔分布。得到了它的一些统计性质。此外,得到了Topp-Leone alpha幂威布尔分布的未知参数的极大似然估计。通过仿真研究,评价了Topp-Leone alpha幂威布尔分布参数的极大似然估计的性能。最后,应用一个实际数据集,结果表明,与Topp-Leone指数分布、alpha幂威布尔分布和威布尔分布相比,Topp-Leone alpha幂威布尔分布更为合适。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Topp-Leone Alpha Power Family of Distributions
In this paper, Topp-Leone alpha power family of distributions is presented based on the method called alpha power transformation which is suggested by Mahdavi and Kundu (2016). The Topp-Leone alpha power family of distributions is rich and flexible for modeling data. Some statistical properties of the proposed family are studied including quantile function, moments and moment generating function, mean residual life, and order statistics. Also, the results of the paper are specialized to Topp-Leone alpha power Weibull distribution. Some of its statistical properties are obtained. Moreover, the maximum likelihood estimators of the unknown parameters of the Topp-Leone alpha power Weibull distribution are obtained. A simulation study is conducted to evaluate the performance of the maximum likelihood estimators of the parameters of the Topp-Leone alpha power Weibull distribution. Finally, a real data set is applied, and the results show that the Topp-Leone alpha power Weibull distribution is more appropriate as compared to the Topp-Leone exponential, alpha power Weibull, and Weibull distributions.
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