分布的扩展Beta生成器:属性和应用

IF 0.4 4区 数学 Q4 MATHEMATICS
G. Cordeiro, T. Ramires, E. Ortega, R. R. Pescim
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引用次数: 1

摘要

我们定义了扩展的beta族分布,以推广由Eugene等人首创的beta生成器。这篇论文被至少970篇科学文章引用,并扩展了50多个知名的发行版。任何连续分布都可以用这个族来推广。所建议的家族可以为倾斜数据建模提供更大的灵活性。研究了它的一些数学性质,并用极大似然法估计了它的参数。此外,针对不同的参数设置和样本量进行了仿真。通过两个实际数据集说明了该家族的优越性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
The Extended Beta Generator of Distributions: Properties and Applications
We define the extended beta family of distributions to generalize the beta generator pioneered by Eugene et al. [10]. This paper is cited in at least 970 scientific articles and extends more than fifty well-known distributions. Any continuous distribution can be generalized by means of this family. The proposed family can present greater flexibility to model skewed data. Some of its mathematical properties are investigated and maximum likelihood is adopted to estimate its parameters. Further, for different parameter settings and sample sizes, some simulations are conducted. The superiority of the proposed family is illustrated by means of two real data sets.
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来源期刊
CiteScore
1.30
自引率
0.00%
发文量
19
审稿时长
>12 weeks
期刊介绍: The journal publishes original research papers on various fields of mathematics, e.g., algebra, algebraic geometry, analysis, combinatorics, dynamical systems, geometry, mathematical logic, mathematical statistics, number theory, probability theory, set theory, statistical physics and topology.
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